Most people (not just women) value authenticity - well not everyone, but perhaps the ones that you want to have meaningful relationship with. This is true for any kind of relationship, not just romantic ones. So you're doing yourself and this girl a disservice by making your stutter the biggest obstruction in your path. Most of it sounds like is in your head. You actually want her to see you stuttering and accept you inspite of it, thats literally how good relationships start. Imagine she had a disability of some kind, and she was feeling insecure about that, what would YOU say to her to make her feel better? How would you convince her that her disability has nothing to do with how you think about her. So now give her the same benefit of doubt.