Most Helpful Girl
Nope. I don't think she is friend zoning you at all. It seems as if she is evaluating if she wants to have a relationship with You, and I have a feeling she is leaning towards a yes. If she didn't see a possibility of a relationship with you, when you answered You wanted one, she would have either said straight up that she 'didn't see you that way' or she would have started avoiding you in some way.
Her saying she doesn't want to feel obligated to have sex, is just saying she wants to take things slow. Also perhaps she is trying to find out if there is more there than just sexual attraction.
I wouldn't worry about it... Just let things run it's course.