I'm actually kind of lucky bc my former stylist never talked while doing my hair which was absolutely fine for me. My current stylist has been a friend of mine for many years so I know it won't be that awkward if I stutter, he won't care. Btw he told me once that he had another customer with a stutter and he finds it very cool how this guy just talks with confidence despite it. None of his colleagues care about his stutter either, they're all very nice and patient :)