Dandrogyny
I don't like that her first answer was "I liked pink and Barbie!" That isn't what makes someone a woman.
However, judging by how she cringes every time they call her "Tim"...
I think her focus on gender roles is just part of living in a society that is so focused on gender roles.
Maybe the liking pink and Barbie was what set the cogs turning, as it were, in a way. Or at least it provided a clue. Playing with pink and Barbie is the height of the stereotype of a little girl, which is perhaps why she said that rather than anything else to highlight the stark contrast between what she was
supposed to like according to society, and what she
actually did.
I see nothing wrong with gender roles so long as those in them are comfortable with them, if that makes sense. People should have the right to conform to them, or on the other hand, to not.