I don't think so. I work in tech so most of my work is technical and doesn't include too much public speaking. Your credentials and personality matter for you to be a good fit for your job. If you are in the US, remember that stuttering is a disability covered under the American Disability Act ( ADA) and as such cannot be used to discriminate against you. Put your best foot forward and be confident in your ability and intuition that makes you a good nurse. If it helps, mention your stutter and indicate that a high stress situation ( like the interview) can cause a temporary flare-up. Good luck!