I find it a little troubling that you say you're interested in her yet you've made negative stereotypical assumptions about her. You've called her a "daddy's girl" because she is going on vacation with her father, you've called her juvenile, and you've said she might be obvlious to love/romance. Most women would not be interested in dating a guy who talked that way about them in particular, or women in general. You are making all these assumptions about her without any justification-- and all of them are negative stereotypes. You might want to think about the way you perceive women and why you jump to these conclusions before trying to pursue a relationship. Most women want to be respected by a partner, not infantalized. She might be playing up the "single us great!" line because she has already figured out you have a crush on her and is trying to politely give you the hint that she isn't interested romantically.