Like everyone else is saying, it depends on the girl. I've been with my recent girlfriend for almost two years and she doesn't mind. But girls like that are in the minority in my opinion so you're going to have to be patient. I feel like in your situation, the best thing to do is "advertise" your stutter/verbal apraxia. When you do that, you clear a lot of tension that might be on your shoulders and you'll no longer feel the need to hide it which should give you confidence that could help with your speach