What kind of jobs are we looking at for people that have a terrible stutter?

What kind of jobs are we looking at for people that have a terrible stutter? What kind of jobs suit a person with a terrible stutter? I know call centers are a no-no, but there has to be something out there somewhere. Or it should be labeled a disability. All I want to do is support myself but the moment it becomes clear I stutter my application goes to the bottom of the stack of resumes. I’ve seen it. In this day and age, what’s left for us?