The_High_Father
Athena took the vow of eternal virgin with ancient laws as witness so that no one can force her into a physical relationship or they will die or lose their manhood even Zeus bit it is never said that if Athena can break her vow or not if for eg she fell in love with someone but the prequisite is that someone should have patience and guts to even pursue her and author does that chain that the MC gifted has any significance
would it be possible to include percy jackson? You can also make it that they don't interact with the marvel super heroes thing as they are separate or hidden from everyone. At most they can talk about it like percy mentioning hulk or their pov during some of the wars like with loki but they don't directly interact with them