You're reincarnated in a matriarchy, in media, it's a matriarch in a mostly patriarchal world or a femdom dominatrix fantasy. However, it's a cool idea to try to see how it'd if you, a woman were in a pure matriarchy. How would you treat him now that you're 'The Man'? Also, he sometimes references patriarchal beliefs/ traditional patriarchal gender expectations, it can't be helped, no matter how much I change intro/description, maybe that's how deeply rooted patriarchy is that it mixes anyways.