So I met this girl on online dating site and we chatted (have common interests) for a few days now and I really see signs and remarks from her messages that she's really interested in me and would love to meet me personally, but I was consciously ignoring them because of stupid and kinda selfish reason: she's not my type. I mean, judging from here photos I am not physically attracted to her.

(and no, she's not fat, and actually, I sometimes prefer chubby women, but that's another story)
And not to sound like a total asshole, I am not a model myself (not fat either), but still, it's either my standards are too high or I am just blind or something? I just don't want to hurt her feelings (she seems like the type of girls that aren't picked up very often, because I wasn't even trying to impress her through my messages, I just acted normal, even purposefully made "mistakes", so to speak), but she still keeps enjoying it, so it's a definite attraction.
For the record, fun fact: I haven't had a girlfriend in my life, so maybe I should try to hook up with her and to look where it goes? But even if we meet, I probably won't be able to escalate anything sexual because of my impression that she is kinda a loner like me and I would only scare her away (and I am horny as fuck at this time, I haven't fapped for more than 40 days).
Again, I don't know for sure, that's just my impression, but I feel, that I am guessing right on this one.
So what would you guys do in my situation? Take the bait and try to look where it goes or leave before it's too late?