If the girl doesn't want to date you just because you don't have a car, maybe it just isn't meant to be. But she's into you, so I think you'll be ok. I started dating my current girlfriend before I had a car, and it worked out fine. I told her right at the start about it, just so it was known (we live in a somewhat rural area, public transit is practically nonexistent, so a car is absolutely necessary to get around) and she was totally okay with it. It made for a good excuse for us to end up at my place at the end of our dates when she had to drop me off, so I guess you can say things turned out better than expected.