Calling a young woman a "chick" is something that makes me tighten a little. I think it's meant to be cute, but when you think about it's not the most complimentary thing one could say. A chicken is an animal, and it's livestock more specifically. A chick is also pretty helpless since it's a newborn. When chick is used to describe a particular style it sounds even more pejorative, I.e "Nah, that movie's a chick flick."
I respond to the word, but it would be nicer to be called something that acknowledges me as still of the species homo sapien.