I think this is a root well worth understanding. Once I grasped the concept I found it much less stressful. I've even got into public speaking, which horrified me as a child.
I came to realize that I'm really not that important. People aren't watching me. People aren't evaluating or judging me. They forget me when I move on. I'm not profound etc. They don't hang on my every word.
All that are things I put on myself. Nobody really "cares" what I say though, I'm just not that important.
Once I leave my ego out the equation, talking to people is a LOT simpler.