Honestly? I don’t think women *can* be in charge of society except in a Y the Last Man scenario. Men are more competitive and they will always be angling for control in some manner. Women are more agreeable and since we’re mostly heterosexual, we don’t have the lesbian separatist instinct. Male assertiveness comes at us and we reconfigure ourselves in various ways that just so happen to look *exactly* like they always have throughout human history. I’m not even mad about this, I consider this an inevitability. It’s just the most basic energy of the human race. You have yin and yang and you always will.
So with women the majority or women in charge, which men capitalize upon this? Which men see this as an opportunity? The worst men. The kind of men who cannot compete or succeed with other men. They’re delighted by the lack of competition, because they know females are no competition. We will bend for them, and the ones who won‘t will be ostracized by the ones who do, who will be the majority. The weak men can take over. No normal men around means no competition and they will swiftly move into a controlling role.
Therefore, a female led society in the absence of a science fiction all the males died scenario is actually a Weak Male-led society. It will dissolve quickly because there’s a reason normal men BTFO the weak ones, they’re unfit. And, lbr, at this point probably troons.