I think all of us who stutter know this feeling, but is your decision if you let it bother you or not. Whenever I face an interview, I just try relax and try to take it slow, even then if my stuttering gets worse. I just be honest and tell them, I have a speech problem, and that I need to talk slow in order to communicate better. Most will understand and some will not hire you because of it, but the point is, don't let it to bother you and keep trying, soon you'll land a job.