I had a severe stutter from a young age due to trauma. Best advice I can give you is to get some good logopedic therapy and don’t fret about your stutter. I started in IT as a college dropout on a helpdesk and several jobs and 15y later I’m head of IT at the country office of a multi national. Talent, hard work and learning how to deal with office politics are always rewarded. If not, just change companies and go try it somewhere else. Biggest tip I can give is always move up when changing jobs. Never ever accept a horizontal move. Just be patient and keep looking for a job you want to do, even if you don’t have the experience yet. Focus on what skills you have and what value you can bring in the new role, not what you’re lacking.