Misha, the last point you raise is interesting — and something that research and media coverage of women politicians shows makes it so difficult for women leaders in our society. Our warmth is sometimes viewed as a weakness; while our strength as a threat.

You might be interested in the book Testosterone Rex, which dispels some gendered myths, notably the idea that it is only men who have and are influenced by testosterone. Full disclaimer: I haven’t read the book, but heard a fascinating talk by its author earlier in the year! See https://www.theguardian.com/books/2017/jan/18/testosterone-rex-review-cordelia-fine.