Unless she is in danger, unfortunately there is no way to force her into therapy. It sounds like she had a therapist who was misguided in the treatment approach. Again, provide her with the Psychology Today therapist finder site or better yet, look on that site yourself and find three names for her. Give her the names and step back.
Did anyone at the school contact you with concerns?
It sounds like your family has nice relationships. Continue those, try to have fun together, let your daughter know she can do less stressful classes in the fall and still do well with college admissions.
It is hard to tell moody teen from depressed teen- we all know that! Your instinct as a parent says she needs help but she needs to be able to participate. If she has a PCP she trusts, they could offer medication if you think that might help. She could meet alone with them. Many people lie on the depression screening so it would take a conversation. You could alert the MD to your concerns and they could offer meds. Sometimes with meds, therapy is more effective (and she might go!).