100% this is the way to think. They may be confused or embarrassed at first, but that's literally momentary. It's not really any different than if you had an accent they hadn't heard before. Keep talking to people. That's the only way it gets easier. The more you do it, the less anxiety you have about it, the easier it gets, which makes you stutter less, which makes you less anxious. It's what they call a virtuous cycle. Good reinforcing good. Sometimes I start by saying "sorry, I stutter" because people aren't used to hearing it, so they get confused and sometimes can say things that hurt us, unintentionally. Once they understand what's going on, they're universally patient and kind. I do that for interviews and dates, too "btw, I stutter, wanted to let you know before we spoke". Good luck. Remember that you are more than your speech.