Nobody will judge you for stuttering. No girl will reject you because of stuttering. Further more, it can even be cute and funny, if you own it and present it in that way. At least that is my experience. But main problem is that she still needs you to like you because of something, and inability to express yourself and say everything you want makes this extremely difficult. You miss many opportunities to make her laugh (because you can't say right joke at right moment), you miss so many opportunities to say something wise/impressive etc.