I can understand you wanting your DD to fulfil her committments. But please keep a close eye on her mental state. As Tumblequeensmom said, by the time these girls actually work up the nerve to TELL us they are ready to quit, so much has happened to them mentally & emotionally. Many do not really want to give up the sport. But they know when they've had enough mentally. The gymnastics life can be 'cult like' and sometimes we all need a reality check. It hit me last year when I realized I was paying someone to verbally & mentally abuse my child! I'm actually ashamed that I let him do that to her & I will NEVER let him treat her like that again.
If your DD is going to continue at this gym(even just to fufil her meet comittment) she needs some positive influence. Is there a supportive coach that she could do privates with? Can you talk to HC & tell him to back off? Imagine being forced to go to a job everyday that (after thinking long & hard) you've decided to quit. Knowing that the boss is going to yell at you constantly, for something that you are unable to do. And the boss is not giving you the proper tools to be able to do the job. How would you feel? Hopeless? Stressed? As you describe DD's situation right now, it's not healthy mentally. A child with fear issues isn't going to "get over them" by being yelled at & stressed. It's only going to make it worse. She needs positive encouragement & support! Please watch the vids by Doc Ali on coaching through fear(I've posted the link several times). That is the type of coaching these girls need...supportive & encouraging!!!