QUESTION: 

She hates applause and cheering, how do I get her to overcome this fear so we can get her shown?

ANSWER: 

I have had some of the same problems in the past with a couple of horses I was training. The only thing that I found that works is to find as many indoor arenas that you can take her to, and ride her in them. If you have access to an arena where you can play loud music or some sort of noise on the loud speakers, that works the best. She just will have to get used to it that way. If you do not have access to an indoor arena where you can do this, you might always have problems. I have found that if they are exposed to something enough, that they will get over it.