I have worked as a Systems Engineer for a large enterprise and am in the Air Force reserves as a cyber defense ops Airman. I still experience terrible stuttering like you mentioned in interviews, meeting new people or when presenting to large groups. But I'll be damned if I let it control me and stop me from accomplishing anything I want in life. Keep your chin up and just know that WE understand. Maybe call back to explain the situation or be up front about your stuttering? I am still trying to do the latter /: