Could I sue my daughters school for this accident??

Ok in January my daughter was playing in gym class a broke her thumb pretty badly (in half). I took her to the doctor and the casted her for three weeks. It still was not healed so they gave her a brace and she went to therapy. The therapist took her brace away and told her not to wear it. It was still broken!!! In April she ened up having surgery on her thumb because it wasnt healing. She still isnt recovered yet! Also her gym teacher made her play in gym!! She is currently out of gym and in a sling for a long time! Should i sue the school?