Well I think it's perfectly natural to care what people think. You see it in job interviews, dating, making friends or in the workplace. It's important to care what people think because how other people perceive us can determine whether we get a job, get a partner, have good social standing in the workplace or friendly or trustworthy enough to establish friendships. So I think healthy to have some amount of caring what people want. I think the problem you're really talking about is that you're feeling that people are judging your stutter. You think they're looking down on you or something. But in reality you can't know what other people are thinking about you. Unless you ask people directly what they think about your stutter, you will only have your assumptions and guesses. And those assumptions come from you, not them. Basically you don't accept yourself for your stutter. So you project those internal feelings onto others. It's not just you, I and other stutterers stuggle with the same thing. It's kinda like default way of thinking. It's a default to think other people will think negatively about your imperfections. You need to develop awareness of what's going on in your head. And consciously shift that way of thinking so you don't automatically read into things. But the root of the problem is lack of self-acceptance. It's journey that I myself still am working on. Tools you can use is voluntary stuttering, accepting that stuttering is just the way you talk and not you as person, and doing cold approaches as a form of exposure therapy with cognitive reframing of internal negative emotions. I would try also doing something in your own time to practice your speech. Like reading out loud, recording youself/video talking about a topic you're interested in or practice enunciating your problem sounds/phonemes for a couple minutes a day. Consistent self-therapy over time can reduce the severity of your blocks which can help with the self-acceptance.