Well, the idea that female biology results in women having a different psychology and different behaviours from men is biological determinism, and feminists have objected to THAT idea since Mary Wollstonecraft in the 18th century. I don't think there is evidence that women have vastly different psychologies to men because of their biology. 'Female nature' is entirely a social construct, ingrained in us from the first day we are born. Just look at how what is considered 'feminine' and 'masculine' behaviour has changed over the years.
In the medieval ages, women were considered to be sex mad, promiscuous, cheaters who couldn't control themselves. Men were the chaste, pure sex, who were able to deploy reason. Read all the literature of the times - women are gagging for it, whereas men can keep it in their pants. Now, (presumably because having the myth the other way around is beneficial to men), women are chaste and frigid and men are sex mad. Did innate female psychology really change in a few hundred years?
In the Enlightenment, it was believed that men were capable of incredibly deep feelings and romance. They would take long walks in nature, sobbing and weeping at the beauty. They would write long treatises on the perfection of male on male friendship. Women weren't capable of achieving deep or higher emotions at all. Women, in fact, were characterised as dull drudges. Nowadays, a few hundred years later, our men are all stoic and don't cry or hug each other and women are characterised as the overly emotional sex. (And the modern male personality, incidentally, is very new only arising after the World Wars.)
So while I can believe that there are differences in personalities between the sexes, I cannot accept there is anything biological or innate about it.
Also, look at careers. Coding is seen as a macho male pursuit...computing and coding was invented by women. Cooking is seen as a male job, but most cooks in the world are female. The gender lines in jobs don't break down in ways you would expect if the sexes had innately different personalities. Instead, weirdly enough, women seem to gather in poorly paid, shit jobs and men take all the prestige.