You don't seem to have enough facts to justify the kind of allegations necessary for a lawsuit. And I wonder what kind of release you were required to provide as a pre-requisite to your daughter's participation in the program?
Even in the best and most carefully-supervised programs, accidents and injuries will happen. The gymnastics program is not strictly liable for anything and everything that happens. In the absence of reliable facts on which to based factual allegations of negligence, your only choice is to withdraw your daughter from the program if you have lost faith and trust in the quality of instruction and supervision.
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I agree with Ms. Mccall's assessment. In addition, I changed the area of practice from "Education" to "Litigation" even though "Litigation" is a broad category. Rationale: Even though the incident occurred at a preschool/gymnastics program, this isn't really an education-related matter. And, I want your question to get as much exposure to the right group of lawyers as possible!
Note: Although, I am licensed to practice law in your state, I provide this response for general, information purposes only. This is not to be construed as legal advice. Consult appropriate legal counsel in your area.