Omegaverse but its omega!Odysseus & alpha!Penelope
(First off, let's get one thing straight. They're both jacked. Penelope would've been forced to train in athletics regardless of her secondary gender since she was born in Sparta. So despite being a woman, as an alpha she was expected to know how to race, fight, and hunt. Odysseus learned most of what he knows about war and strategy from Athena, who looked past his secondary gender and saw the promise he had.)
When the other kings start gathering up armies to take to Troy, both Ody and Penelope try to dodge that draft like crazy because honestly, either one of them could be forced to go. Despite Odysseus' "unfortunate" secondary gender, he's widely known as one of the best strategists alive. In contrast, Penelope (despite spending most of her days organizing the house and weaving on the side) has the experience of a fierce and formidable warrior. And neither of them want to leave because they've just had their first child.
So when Agamemnon and Menelaus and co. show up on Ithaca, it's go-time. Odysseus, still recovering after giving birth to Telemachus like 3 months ago, pretends to be bedridden and sickly while Penelope feigns madness by doing the thing about yoking a donkey to an ox and plowing the fields in crooked rows.
The other kings are like "damn Ithaca is super screwed we should just leave", but one of them doubts that both Ithacan rulers are incapable of going to war. So they steal Telemachus from his cradle and put him out in the field. If Odysseus is too sick to save his son and Penelope is too mad to notice her infant child in her path, then they're exempt from war.
Penelope doesn't notice Telemachus hidden in the tall grass, but Odysseus was pulled out of bed by a servant who claimed to see a man stealing the young prince!
Odysseus runs out into the field and rescues Telemachus before he can be trampled. Cue the other kings all pointing their fingers and smugly declaring that Odysseus must go to war.
Penelope realizes what's happened only after it's over. If she had figured out their trick sooner, she would've veered the plow away in order to save her son and to protect her omega from going to Troy.
Odysseus admits that his illness was a ruse, but he keeps up the act about Penelope being mad. He doesn't want to risk the kings suggesting that he and Penelope both go. After all, the other kings are evenly divided in opinion; half want Odysseus for his mind despite his "inferior" omega nature, while the other half want Penelope for her prowess despite her being a woman. (After all, she did spend like a whole day pushing a plow without rest.)
In the end, Odysseus and 600 men ready themselves for war. Before he leaves, Penelope tries one last time to convince him to stay so she can go. She even begs at his feet, trying to use logic to sway him: he's still recovering from childbirth, Telemachus needs his dam, it was her fault for not spotting their son in the field.
Odysseus smiles and kisses her softly, reassuring her that the taking of Troy is expected to be a swift conflict. Likely no more than a year. He'll be back before she knows it!
