This might explain eternal maidenhood.
My version of Athena is asexual. It's as simple as that. ^^
Yet definitely capable of romantic love.
Yes. She's not aromantic.
I once started writing some Greek myth fanfic, and had Athena and Hephaestus start as BFF's with Prometheus their dear mentor. The trio are linked by intellect and some aspects of personality.
It was mostly tragic, because while Athena respected Hephaestus' mind and skills and liked him as a friend, she was repelled by his crude approach. Hephaestus married Aphrodite on the rebound, and Aphrodite treated him badly and enjoyed rubbing Athena's face in it.
I had Athena be demisexual. She could only fall for a friend whom she deeply respected; she was also very prudish, especially by the standards of a Greek goddess. Hephaestus passed her first requirement, but he was too crude, especially when trying to impress other gods.
He made the mistake of discussing his crush on Athena when drunk, with Poseidon, who maliciously advised him to take charge and woo her roughly. The rest was him getting his ass kicked by Athena, and the accidental ejaculation which produced a future King of Athens from Athena's thigh.
Athena mostly forgave her friend this, and blamed Poseidon more (because she already despised her uncle), but it was literally almost millennia before she mellowed enough toward him that romantic love between Athena and Hephaestus again became possible -- and that was after the Fall of Olympus, when they had both been humbled by circunstances.
That's an interesting take on the relationship between Athena and Hephaestus. I also prefer to see Poseidon as the one who fooled Hephaestus to assault Athena, mostly because Hephaestus usually seems to be a quite nice and decent guy.
If only Zeus remembered those words later...