Did you disclose that you stutter? It always helps me to navigate smoothly through the interview as I don't have the pressure to prove myself to be a perfect speaker. You could then say that your stutter will not impact your job and your motivation to apply for the job despite having a stutter. I would recommend to use stutter as your power and not as your weakness. It always helps me when I come to the interview with this mindset. But don't worry, life always gives next chances.