I'm no doctor or pharmacist but I have honestly read posts on this community of stuttering doctors still going for their career path and being confident despite having a stutter. They can still smile through it. If you're seen as confident and happy despite stuttering, other people will most likely get a good vibe about you and not have any reason to feel concerned. Even a professional speech therapist will never make you feel abnormal or ashamed for having a stutter. What helps for me is to let an interviewer know I stutter so they don't see it as a big deal if I don't turn it into a big deal if that makes sense. I don't spend too much time going into details about it but I tell them at the start so they don't take it personally and can learn to ignore it that I am still me. You need to re-evaluate the meaning of "good communication skills". I used to think that meant I'm NEVER allowed to stutter but that only put so much pressure onto me. Non-stutterers can constantly interrupt people without realising, rush people into talking or not bother to sit up properly and make eye contact to listen - all of this would be considered as poor communication. Yes, being a stutterer is very exhausting and can take an impact on our mental health heavily to tred on our words but I can assure you that changing your mindset in how you view yourself positively regardless of stuttering is very powerful.