Carmilla and Vaggie Related Theories
I've seen a popular fan theory that Vaggie and Carmilla might actually be related, specifically a long-lost mother-daughter. And I'm here for it. I mean this seems like an obvious hint like with Vaggie being a former Exorcist Angel. And I'm here to share my own reasons for why I think them being related is a strong possibility. Though, if it happens to be a mislead, I still think they're best bros.
Their distant duet together when Carmilla makes her first appearance hints at a connection and I don't mean their future mentor/mentee bond in the 7th episode. For all the duets we've seen, they've been between people who have some sort of personal connection with each other - Vox and Alastor are bitter rivals; Charlie and Lucifer are an estranged father and daughter now rebuilding their bond; Charlie and Vaggie are committed and loving girlfriends. So, why does Vaggie and Carmilla get a duet before even meeting one another? Because their bond is going to be explored in Season 2.
Following from my last point, their bond being explored more makes sense. We saw Carmilla smile in pride when she heard of the Hotel's victory, clearly thinking of Vaggie. Plus, the Vees are going to be bigger antagonists, and their targets are Charlie, Lucifer, Alastor, and Carmilla (at least, the ones I remember), and Velvette especially dislikes Carmilla. So, I think a Velvette/Vaggie rivalry (maybe even Velvette developing a villainous and possessive romantic interest in the latter as it parallels Vox's one-sided crush on Alastor and Valentino's abusiveness to Angel Dust). And what better way for them to interact than through Carmilla.
They have similar personalities - Both are serious, emotionally guarded woman who are very protective over their respective loved ones. They both manage, at different times, to check Alastor's ego. And both show a softer side towards the people they love. And another subtle thing I've noticed - both speak in Spanish when angry (Vaggie with Alastor; Carmilla with Velvette).
Just how similar their designs are with similar grey skin, similar (though not completely identical) eyes, and long hair. And throughout "Out for Love", whenever Vaggie matches Carmilla's pose, their resemblance gets even stronger. It's almost like Ms. Viv is saying, "Look. Look. They're mother and daughter".
Following from #4, how can they look so similar but still be distinct. Two possibilities - One, if they're related, Vaggie took more after the father but still gained a few things from Carmilla; Two, since Vaggie is an Angel, it wouldn't be so out there that her Angelic qualities made her look slightly different than her supposed family who ended up in Hell, thus gaining demonic qualities.
Also, Vaggie share a subtle indicator of being related to Carmilla - Vaggie's shoulder sleeves (?; I don't know what they're called) are similar to Carmilla's literal white arms.
When Carmilla is first introduced, she has a similar role to Vaggie's - leading a group on how to make sure their respective business doesn't fail.
We still don't know the FULL extent of Vaggie's past. Yes, we know she's an exorcist but it's still ambiguous if she's Heaven born or a mortal who died, went to heaven, and recruited into being an Exorcist. Some things may have changed since the pilot, but I strongly believe that the crew is leaving Vaggie's full origins a secret until season 2 comes.
Both songs that Carmilla is in features Vaggie. And both songs speak directly or indirectly about her parental love to her daughters.
If this bit of info is still true, according to Fautisse (?), Vaggie is a great dance. And Carmilla has a ballet motif and uses dance as a fighting technique. Possible connection.
Similar to Lucifer and Charlie, where we see the former's wings when with his daughter during both of the songs from "Dad Beat Dad", Carmilla is able to help Vaggie regrow her wings during her song in "Hello, Rosie!"
Another thematic connection between the two - the use of angelic weapons. Carmilla has an entire business of procuring and making them while Vaggie is the only Hazbin resident to use an angelic weapon from the start (which largely hinted at her past Angel Exorcist past).
Something funnier but during a cast interview, both the VAs of Vaggie and Carmilla describe their respective characters the same way - "Bad Ass Bitch". See here.
And those are my thoughts. If anyone has other thoughts, please add on but be respectful.