Woman not a woman

So, Biden’s Supreme Court nominee was chosen expressly because she is a woman and also is black. But the person chosen as a woman can’t tell us what a woman is. When asked in a hearing if she could say what a woman was, this Supreme Court nominee said she could not provide any definition. How can we know that she is one then? And if I can choose any gender I want in spite of my biology, why cannot I be black if I want to? Somehow, choosing your gender in spite of biology is virtuous. But if you choose your race in spite of biology you are guilty of “cultural appropriation” and will be cancelled.