It's true; being the centre of peoples' attention as an anxiety sufferer and introvert isn't easy.
In fact, there are days that it feels impossible. However I have a rule that I'll never turn down an opportunity to support people, or to educate them on mental health. This self-imposed rule is always at the back of my mind every time I'm being interviewed or giving a talk.
So, as terrifying as it is for me to stand at the front of a room and speak about a topic as personal as mental health, I'll stand there and talk anyway. If I don't, who will?
Yes, there are charities who have people go out and speak at schools and events, however, in my experience audiences engage more when the story being told is a personal one. It builds trust. I trust you enough to tell you about my darkest days, you trust me enough to ask questions you may otherwise keep to yourself for fear of what you have to say being considered "silly".
There is no such thing as a silly question. There are difficult-to-answer questions, there are easy-to-answer questions, and there are impossible-to-answer questions. None of them are silly. If I can answer your question, I will. If I can't? I will tell you as much. I won't try to shrug you off with a made-up answer. When you trust me enough to ask me a question, you trust me to be honest, and that's what I'm going to do.
So I guess that's how I cope; through mutual trust.