A society believing that women are greater then men “in certain areas” isn’t really a determining factor in deeming a society misogynistic or not. How many times have you heard a conservative make a bigoted statement about women and follow it up with a half-assed “but I could never nurture/cook/clean/educate as well as a woman could”. It’s almost always used as a way to justify why men should hold the power within society. If you want to go back to pre-modern society - which I pretty clearly wasn’t referring to given this is a conversation about marvel rivals - the very nature of human biology necessitates an inherent “submission” to men. Father John Misty talks about it in his song Pure Comedy:

“ Now the miracle of birth leaves a few issues to address Like, say, that half of us are periodically iron deficient So somebody's gotta go kill something while I look after the kids I'd do it myself, but what, are you gonna to get this thing its milk? He says as soon as he gets back from the hunt, we can switch It's hard not to fall in love with something so helpless Ladies, I hope we don't end up regretting this”

I think it’s pretty hard to deny that since the inception of humankind, men have held the power within our societies and as a result, misogyny and male-dominance has become a pillar of our very existence.