I'm a pharmacist, but work at a closed-door pharmacy. I'm on the phone about a third to half the day with nurses (mostly) and doctors (5 to 10 calls a day). My stutter severity is probably a 4 out of 10 if I had to score it. If I do stutter during the call, it's typically a little bit at the beginning of the conversation (pleasantries, etc), but then when I get down to the business of the call and talk about drugs, I typically have no issue. No one has ever made a big deal out of it except once when I was still in school doing rotations, but even then it wasn't to my face, it was the other person asking a classmate of mine what my issue is, lol. Once you become the "expert" at your thing, you'll probably find that a lot of the anxiety that causes a stutter will go away, which in turn will reduce the stuttering.