You talk about struggling to start conversations. Practice. “Hello, how you doing?” “How was your journey here?” “Have you been working here for long? What do you do?” Look for things to relate on. If you worry about your stutter, tell them that you have a stutter. For a lot of people, myself included, it helps their fluency. By putting it out there, I no longer try to hide and I stress less while talking. As for anxiety. I get it is difficult but i would encourage you to just get out there and do it. Say hello. Make that call. Say your thing. What is the worst thing that can happen? The best thing that could happen is that your confidence and fluency improve. For a career I would suggest you do something you are good at and you enjoy. I have seen doctors, lawyers and actors that stutter. President Biden stuttered. Just gotta get out there and do what you need to do. I expect your speech will improve as you go.