It would depend on whether you were prepared to give such an answer. IMHO she should have been given that she wrote a book.
"Woke" is larger than a bumper sticker and in some ways not easily described off the cuff. She should have been prepared, she is an author of a book talking about their lost childhood or some such.
Personally I don't think that this would work more than a couple times and only with different folks, after that folks would make sure they have a working short definition and the "gotchas" (either left or right) would stop asking because it would be easily answered.
"Woke", being political, has two sides like a coin, one side seeing something different than the folks on the other side see. I don't necessarily know that the girl being interviewed was even a conservative given that we are only given one limited portion of the interview. It can be difficult to describe, like a flavor, if you are unprepared to give such a description.
If I were her, and equally unprepared, I would have simply asked, "What is your definition, and we'll talk about how mine differs from yours?"