I had the same problem, I'm not exactly the greatest looking either im 16 and I've been dating a beautiful girl for a few months now. But I told her that I stutter before we really got the chance to talk a lot. But she was completely supportive of me and thought it was kind of cute too. My point is that you should try your best to approach the girls you like and hey if you're a nice guy, chances are they will love to have you as a boyfriend and will support you 100% of the time stutter or no stutter.