if you are infertile then you are a broken man or a broken woman, but a man or woman nonetheless.

as for who takes care of the children, that's irrelevant and not defined by sex or gender. many cultures in the past indeed had women take care of the children while men gathered resources and built wealth because it was convenient. modern conveniences eliminate the need for this, though many people still choose it because it drives with the instincts that we have fostered over millions of years.

there's nothing about how you act or what you do that determines if you are a man or a woman.