Lol....I've made you feel better?
Then why are you wasting time on a girl you don't want?
In fact reading what you've written says that you clearly DON'T want her. Why make her believe otherwise?
That's very cruel actually. Sorry, I'm not meaning to sound harsh, but it's leading her up the garden path. She may well be into you, and if it's not reciprocal, then you need to be careful with her feelings. As people, we all have a responsibility to be honest to others. How would you feel if you met a girl who you DID want, you were over the moon about her, and she only went out with you because you were a convenience of sort. Put yourself in her shoes, and then re read what you've written.
There is the debate that we can "grow" to care for someone. Sure, you can grow to care about others, but that's not what it's about. Some will argue this point and think I'm wrong, but hey...how many people are truly honest about this?

Not many if you ask me. In fact, people who tell you that it can grow from nothing usually don't have the evidence themselves to prove their point. I know from my experience, those who think it can grow, usually divorce or cheat. The one's who started with chemistry are the ones who remain together and happy (not without arguments of course, but the foundations remain the same, which is needed to get through arguments). If the foundations are weak, then they will collapse usually injuring those standing on them.
A lot of people are in relationships because they can't stand loneliness. In other words, they haven't worked on themselves, found things that nurture their core so they delay getting to know themselves. Instead, they get other people to fill the gaps.
Just something to think about.
xx