When I was younger, I used to believe that women were the statistically smarter or at least more rational sex while men were more emotional and irrational. Part of the reason why is that I thought that women having stronger minds would compensate for their physically weaker bodies. Another reason is that I am a guy with Asperger's Syndrome, making me cognitively very masculine, and I tend to be impulsive and easily angered (when I was a kid I would throw lots of tantrums). To be sure, I didn't believe that women were morally superior to men, but I did think that aggressive and competitive women tended to be more subtle and calculating while similarly aggressive men were more volatile and upfront.
I know now that my belief in women's greater mental strength and rationality isn't necessarily true for our world, but I would still like to apply it for fantasy worldbuilding. In the majority of my world's cultures, women are more likely to have intellectually demanding roles such as magicians, scholars, and politicians whereas men tend to be the warriors and manual laborers. This would have the effect of the world's cultures being matriarchal since women are the sex trusted with political leadership.
I don't know what I should ask in this OP, I simply wanted to share a brain fart.