If someone asks you to stop something simple and of no consequence to you just do it out of respect. Why does everyone feel entitled to a concrete argument and being convinced before just respecting folks? It’s ridiculous.

What about half of the people in the comments seem to fail to understand is that the way the lady correcting OP's language is the biggest factor.

Her saying "hey, could you please not refer to me as a guy?" is completely different from her getting angry and going off on a rant. The former situation is worth continuing the discussion, and the latter situation leads to people rightfully avoiding that lady.