To avoid the trap, I think her best response would have been to ask a clarifying question, "Do you mean to a biologist or to a psychologist?", because they would give different answers. At one point in recent history, they would have given the same answer, not so much today. Ultimately, when speaking about biology, men are men, women are women, and only women can get pregnant.When Justice Brown was asked, "What is a woman?" and she responded, "I don't know, I'm not a biologist", it was not that she did not know what a woman was. In fact, asking a biologist would be a mistake as well, since a biologist would point to the XY and XX chromosomes and the fact that they either have a uterus or they do not. Brown refused to answer because this is the response of a biologist, or should be, but she did not want to give it because her political constituency is now trying to define what a woman was and did not want to offend them.
If truthful, she would have said, "Ask a psychologist". This is because, the whole gender new identity movement is all about appeasing people who think they are the opposite sex, but instead of forcing them back to reality by telling them they have a mental disorder, which may lead to suicide, it is better to go along with their mental disorder than try to fix something that can't be fixed. But if Justice Brown should have said, "Ask a mental health professional what a woman is", that would be wrong as well because that would acknowledge where the problem lies.
As with all liberal positions, it it one based on raw emotion and lies, and not logic or the facts, much like the recent claim that a 10 year old girl was denied an abortion. No such girl exists, just like there is no biological way to convert to the opposite sex.