A lot of people seem to see "female" as a strictly biological term, whereas "woman" is a gender term. While this would be convenient, I'd like to point out that

A lot of people seem to see "female" as a strictly biological term, whereas "woman" is a gender term. While this would be convenient, I'd like to point out that lots of people use "female" to refer to gender too. My answer would be, "woman" is a socio-cultural category (a "gender") with some associated traits deemed "feminine", which people who have a vulva at birth are placed into, but as a social category, any particular genitalia is neither sufficient nor necessary (in the formal-logic sense) for membership in any particular category. This definition doesn't allow one to objectively place someone else in a category. The Spanish word "genero" is both "gender" and "genre" in English, which I feel is illuminating. You can't write a procedure to determine if any arbitrary song is rock music, as opposed to country or metal or blues, or if a movie is a thriller or horror or action or comedy. There will be cases that clearly fit in one category, there will be cases where the genres are mixed, and cases where people disagree on the genre. Same with gender. It's a classification system invented by humans; a "social construct".