Please, please pull your DD out of the school immediately! You can fight for the money later, but your daughter's well being is the most important thing. I went through a similar situation at the age of ten. Now keep in mind that I have always been a major rule follower and tried my best to be perfect at school (no I didn't always succeed, but I went out of my way to keep my head down and avoid trouble).
Like you described, we were not members of that church and everything was extremely cliquish. My first year was fine. The second year we got a new headmaster who hated everything about me (I was advanced by several years). It started with classroom bullying similar to what you've described, and continued to escalate throughout the year. My parents were down at the school frequently, meeting with administrators, meeting with the pastor of the church...nothing helped. By the end of the year the administration was actively rewarding other children for bullying me, and the pastor was actively preaching on Sunday mornings that I was a devil and a demon!!
It all culminated one morning in April when I was called into the office. This headmaster spent better than 30 minutes screaming at me at top volume, calling me worthless, evil, stupid, and an abomination to the human race. He then beat the crap out of me with a thick wooden paddle and locked me in an office the size of a broom closet. He left me there all day with no food, no books or anything to do, and no access to a bathroom!
My parents went to the police, but at the time (mid-80s) there was nothing they could do! Apparently separation of church and state meant that church schools could get away with anything. The lawyer we talked to said the same thing. I'm 34 now and it literally took until a situation two weeks ago for me to work through the psychological damage. And I'm sure it's not all fully worked out yet, it's just better than it was.
I'm not saying things would go that far with your DD, and I'm pretty sure the things that happened to me would be illegal now. But no amount of money is worth taking the risk of permanently scarring your child. I hope it all works out!
