The school made a big mistake by saying (writing) anything about the professor. Should have just said “Sorry, no renewal for you. Have a nice life.”
But I do think the professor will have a hard time, if it makes it that far in trial, proving damages. She was a low paid contractual employee. Other schools have said they support her (and you could infer they would hire her ‘if only they had an open position’). She will have to prove her damages and it’s not like she was making millions (Gretchen Carlson) or that she had the potential to make millions. What do other instructors who have not had their contracts renewed do? They look for other jobs.