I think you have a decent shot of just waiting it out. I did the same thing to my boyfriend (granted, I hadn’t been in a relationship before) because from the beginning I could tell that a relationship with him would be very serious and committed, and I didn’t know if I was ready. I waited for a bit and went through a lot of personal growth and now we’ve been dating for over a year and I’ve never been happier. 

Of course, your girl may be different, but I think that it’s possible.