Anxious about my stutter

Anxious about my stutter I have been looking for new jobs and every time I read the job description it says “excellent oral communicator” and I immediately say to myself “that’s not me” and move on. I worked really hard to earn a masters degree but I know I find myself feeling self-conscious about ever being in a leadership role. Has anyone experienced this feeling before? I feel like my stuttering has gotten worse with age and it’s really effecting me in my personal relationships and career.