The following is a genuine question to which I do not know the answer and would like to learn more.
How far is the way we each think actually determined by biological sex via hormones? How far do male and female brains differ in terms of structure and functioning because of different exposure to androgens and estrogens during development? How far is this thing about anger being masculine and empathy feminine, and all the other stereotypes, just cultural conditioning and how far does it have a starting point in biological realities?
Well neuro scientists like Gina Ripon say there are very few biological differences between male and female brains, and the differences have no discernible effect. ie. It's nurture, not nature. (Ref The Gendered Brain book).
Simon Baron-Cohen thinks there is a distinction. He thinks men are geared up to think in a 'systemised' way and women are geared up to think in an 'empathised' way. (I'm massively simplifying, and there is no suggestion that one type of brain is better than the other). He cites autism as being an example of what an extreme male brain is like.
Ripon would say that these differences are due to how we treat boys and girls differently. Parents talk to girl babies more and encourage social play like dolls tea parties, so they develop empathy whereas boys are encouraged to play games that require spatial awareness etc so they develop these types of skills.
Obviously things like testosterone affects levels of aggression and sex drive, but I haven't read anything that is convincing proof of a distinct male and female brain. I certainly reject the 'born in the wrong body' narrative that Mermaids and Stonewall pushed for a long time. There's no 'lady brain'. Nobody is born in the wrong body. How could you be? It makes no sense.