Additionally, the one who is a sworn virgin is also a goddess of war, and could fuck you up if you tried to kill her. (Even if you were a god, which he was not, unless you were Ares or King Zeus Himself, which he was definitely not.)
If the Iliad is anything to go by, I wouldn’t even give Ares good odds. Athena fucked him up pretty badly.
So what’s the most tactical answer? I’m thinking fuck hera, marry athena, kill aphrodite.
Honestly, I don’t think there’s any answer that doesn’t get you straight-up murdered by at least one of Zeus and Athena, so I figure you might as well go completely balls-out and marry Hera. Follow up by telling Athena that she has to call you “pop” from now on. Might as well go down memeing.
I mean from the pagan sensibility present the obvious response is “blowjob contest” so question is what was holding that back then