I am 38 years old and have lots of experience with dating. There is absolutely nothing you can do to change your stutter so honestly your best bet is to just own it. Try stuttering on purpose and look her in the eye each time you stutter. It’s your only move in this situation. Also think of your stutter as this amazing build in filter that filters out the unkind non compassionate judgemental people. You will 100% meet people who will discard you for your stutter and just be thankful that they are filtered out. You will also meet lots of kind people who will listen to you and won’t even think twice about your stutter.