Interpretation/headcanon - "This character thought/felt [thing]" when it's not clearly and overtly stated by the text.
Literary analysis - "The author used [literary tool] therefore we can make a reasonable argument that this character's choices reflect [motivation]"
If troll's anon's point is that Snape didn't love Lily but that he instead had an unhealthy fixation on her, they need to argue with textual evidence otherwise it's their personal reading and can reasonably be dismissed by anyone who sees no evidence for this in the text. Responding to this kind of goading, clearly incendiary and pointless ask is a waste of energy, but I'm having the kind of day where I feel like getting into what critical reading and reading comprehension entail, and OP's response feels pretty subjective and more about their personal interpretation rather than a critical reading, which is their prerogative but I wanted to add a bit more of the latter, so here we are.
If the only evidence of Snape's love was his own assertion of it, it might be easier to interpret loosely. However, the author (boo, hiss) draws our attention to Snape's love for Lily in several ways, making sure to build up to it even before the big reveal:
āTonksās Patronus has changed its form,ā he told him. āSnape said so, anyway. I didnāt know that could happen. Why would your Patronus change?ā
Lupin took his time chewing his turkey and swallowing before saying slowly, āSometimes ⦠a great shock ⦠an emotional upheaval ā¦ā
-Half-Blood Prince, Ch. 16
āBut I donāt care either, I donāt care!ā said Tonks, seizing the front of Lupinās robes and shaking them. āIāve told you a million times ā¦ā
And the meaning of Tonksās Patronus and her mouse-coloured hair, and the reason she had come running to find Dumbledore when she had heard a rumour someone had been attacked by Greyback, all suddenly became clear to Harry; it had not been Sirius that Tonks had fallen in love with after all ā¦
-Half-Blood Prince, Ch. 29
The author could have chosen various ways to show that Tonks was in love with Lupin, but she chose to illustrate it using her patronus. The choice of language here is deliberate: "in love with." Tonks' patronus and her being in love with Lupin are directly connected. Therefore when we see Snape's doe patronus in direct response to Dumbledore's question about his affection for Harry, we already have a framework for understanding that in the world of the story a patronus can reflect a strong love.
āAfter all this time?ā
āAlways,ā said Snape.
Even without knowing that this is one of the most widely known quotes from the series, and that this exchange was the root of the author's explanation to Alan Rickman about his character's love of Harry's mother, the knowledge we have of what a patronus can mean is enough for us to understand that both Dumbledore and Snape are referring to Snape's love of Lily. There's a clear series of events: Dumbledore asks if Snape has come to care for Harry, Snape replies "for him?" indignantly and produces a doe patronus, and Dumbledore shares the above exchange with him.
In case there's any confusion about the doe patronus reflecting Lily, we know that Harry's patronus is a stag and that it reflects his father, whose animagus form was a stag. Harry also feels a connection with the doe patronus:
It was a silver-white doe, moon-bright and dazzling, picking her way over the ground, still silent, and leaving no hoof prints in the fine powdering of snow. She stepped towards him, her beautiful head with its wide, long-lashed eyes held high.
Harry stared at the creature, filled with wonder, not at her strangeness, but at her inexplicable familiarity. He felt that he had been waiting for her to come, but that he had forgotten, until this moment, that they had arranged to meet. His impulse to shout for Hermione, which had been so strong a moment ago, had gone. He knew, he would have staked his life on it, that she had come for him, and him alone.
...
At last, she came to a halt. She turned her beautiful head towards him once more, and he broke into a run, a question burning in him, but as he opened his lips to ask it, she vanished.
Though the darkness had swallowed her whole, her burnished image was still imprinted on his retinas; it obscured his vision, brightening when he lowered his eyelids, disorientating him. Now fear came: her presence had meant safety.
The doe feels familiar to Harry and gives him a sense of safety, attributes that can be reflective of both love and motherhood. Nevertheless, the author makes this intention clear by putting the words clearly into her protagonist's mouth, as he confirms both that the doe represented Lily and that Snape loved her:
āSnapeās Patronus was a doe,ā said Harry, āthe same as my motherās, because he loved her for nearly all of his life, from the time when they were children.ā
When Harry says this it's at the climactic moment of the series where all of his dialogue exists to provide clarity and exposition. The author is making a conscious and deliberate decision here to give a clear statement through this character that Snape loved Lily. While for most of the series the voice of exposition tends to be Hermione or Dumbledore, Harry spends much of it uncertain and seeking answers, often misinterpreting what he sees and falling for literary foils. In this moment, however, he's figured everything out and as the protagonist who's about to slay the antagonist, he's informing the reader as much as Voldemort, because this is the point where the author answers all the questions that still remain outstanding before the story can end. Therefore we can accept what he says as the author's intention to explain the truths of the world of the story.
As for anon's assertion, a statement like "disgusting obsession" is also very broad and liable to interpretation. Their meaning might be clear to them, but assuming it will be clear to anyone else with minimal information mostly just reflects a difficulty with theory of mind.
It's hard to find any kind of basis for Snape's love being obsessive in the text, however, even considering several possible interpretations of anon's meaning. If the implication was that Snape was obsessive in a predatory way that sees friendship as transactional and ignores Lily's autonomy, I would point to the textual evidence that after Lily ended their friendship, Snape seems to have no more memories of her, indicating he respected the boundaries she set. I would also point to the textual evidence that Snape risked his life to save hers, and continued to risk it for many years after despite the impossibility of any kind of transactional relationship seeing as Lily was dead. The only thing he did that might have crossed a boundary was taking the second page of her letter to Sirius from Grimmauld Place, however he did so when it could be reasonably assumed the house had been abandoned and the person the letter was addressed to had died and had no more use for it.
If anon's implication was, instead, that Snape was obsessed with Lily because he continued to have feelings for her after she died, then I would point out that calling it "disgusting" is a subjective statement, not the objective literary criticism that can be expected from someone asserting their reading comprehension. We can't help our emotions, and continuing to feel love for someone who's rejected us is part of the human experience. Policing our own, or others', emotions is unhealthy and also futile. As long as we don't act on those emotions and respect the boundaries that have been set, we aren't causing harm. If anon was implying this, that Snape continued to feel strong emotions for Lily throughout the story, then it's unclear what makes them obsessive and not affectionate given all of the above, and the text offers no evidence I can see that would support anon's argument. Perhaps that's why they offered none and instead defaulted to a baseless insult instead of writing a thoughtful, critical post and sending it to OP.
Finally, anon asserts that Snape was never reformed. Again, given all the above citations from the text, we get confirmation from Dumbledore, who's used as the author's mouthpiece throughout the series, that Snape was a trusted ally. We also have this quote from Harry in the Epilogue:
āAlbus Severus,ā Harry said quietly, so that nobody but Ginny could hear, and she was tactful enough to pretend to be waving to Rose, who was now on the train, āyou were named for two headmasters of Hogwarts. One of them was a Slytherin and he was probably the bravest man I ever knew.ā
-Deathly Hallows, Epilogue
The author makes a deliberate choice for Harry, the protagonist, to refer to Snape not only as brave, but the "bravest man [he] ever knew." This is the Epilogue, so there's no reason this statement would be a misdirect or anything but what the author wants us to understand about Snape and Harry's perspective of him.
We see Snape continuing to fight against Voldemort throughout the Prince's Tale chapter, and we see Harry defend him to Voldemort in their final battle, but as an added measure the author has chosen to emphasize Snape's bravery by putting those exact words into her protagonist's mouth in the Epilogue. Snape dying at Voldemort's hand is also an authorial decision that can be interpreted to symbolize that they're on opposing sides. Snape is the only Death Eater we see Voldemort kill - all others are humiliated or tortured, but Snape is the only one killed. So the symbolism feels quite strong. Snape is defended by Dumbledore and Harry, and killed by Voldemort - his death is a sacrifice, and the text indicates quite clearly that the quality of bravery and the support of the protagonist and his mentor amount to a kind of redemption that would not be possible if Snape hadn't reformed.