A philosophical argument which leads us nowhere. I can just tell you there appear to have been few successful governments led by women. From the Biblical perspective getting right back to Genesis, it is said woman will try to rule man but he will not let her, why should the weaker vessel rule, because she speaks more words?
Genesis 316 To the woman he said,“I will make your pains in childbearing very severe;
with painful labor you will give birth to children.
Your desire will be for your husband,
and he will rule over you.”
If you accept the word of God then he made it plain who should rule