People get uncomfortable, that's normal. I stuttered all my life and it's pretty much always the same. With that said, what matters is how people deal with this discomfort. Emotionally immature or insecure people might make fun or avoid interactions. Always keep in mind that ultimately, how people react is an expression of who they are, not of how severe your stutter is. Try to remain in compassion towards those who might react negatively, they are simply trying to deal with something they haven't had to deal with before. Remaining confident in what we're saying is difficult when we have to deal with blocks, but succeeding in doing so will make people more comfortable very quickly. People are put at ease when their brain is telling them that your stutter is under control and you're able to communicate. If you show a lack of confidence or apologize for it, people will naturally have a tendency to dismiss you or avoid communication of a certain level. Remain in understanding and confidence.