You'll be fine. Just do you job right, know your stuff and no one will care. I'd like to hope the medical profession is more accepting and tolerant to people's issues then most. I'm not a doctor. But I'm a signal electrician and use a mobile phone for work all the time. My job is considered safety critical and I often have to work with time pressure in shit conditions while being highly scrutinised. I know it doesn't compare to being a doctor but when it comes down to it. As long as you get your point across it doesn't matter if you stutter. Controllers and fault co-ordinators might know me as the guy that stutters but I like to think that they know if the guy with a stutter turns up. Shit will get fixed. Competence before confidence. The confidence will come with time.