I can NEVER same my name without stuttering!

I can NEVER same my name without stuttering! Hi! I’ve had a stutter my entire life. As a child my stutter was much worse but with time and speech therapy it’s gotten to be mild. I also go through phases where the stutter is much more fluent or significantly more disfluent. I’ve noticed for years that I always stutter when I introduce myself. Right before I try to say it I feel a drop from my chest to my stomach and immediately tense up. However, I can say it fine when I’m alone or in a relaxed social setting. Does anyone else experience this?