Quite a few girls love the confidence of a guy who is willing to come up and talk to them. Add on to that that you are at a disadvantage with your stutter, and she'll appreciate it more than you can imagine. You may not get that one, but just keep your head up and eventually you'll find one. Getting a girlfriend greatly improves your confidence, and with me, helped my stutter tremendously, just don't get discouraged if she says no