As long as you told them before going in for the interview, there’s no shame in stuttering at all! In my first interview I stuttered on almost every other word, to the point where my future boss got a little confused and asked me if this was a chronic issue. I said yes it was but it got a little better over time and exposure, and I got the job :) Of course it was retail but if a PWS can get a job that constantly deals with people face to face and over the phone, I’m 100% sure they won’t penalize you for stuttering