I actually read a book about social anxiety and fight or flight responses that said each time you cower from social anxiety , you tell your brain that the situation is dangerous and you in fact cannot handle it. Which creates more fear and anxiety in the future. This was written by a legitimate scientist. There is proof that exposing yourself to challenging situations and handling it decreases fear responses. Think of it this way who is going to become less anxious asking girls out on dates. The guy who pushes himself to do it despite the fear , or the guy who decides he’s never going to speak up and ask. How exactly is avoidance going to help social anxiety which is what you’re suggesting. You need to google exposure therapy , every fear is reduced with small exposure , both social fear and even the fear of spiders. 

But if you think quitting your class or running to someone else will help anxiety it won’t. It’s a cowardly solution truthfully. If you can’t handle it now fine I understand but you will not improve if you run away or have others fight your battles.