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You probably can't get a civil restraining order because someone is noisy. If you tell me what US state you're in, I can check that for you.
Thank you for the detailed reply. You cannot get a restraining order simply to avoid having to evict a tenant. That is why the police see this as a civil rather than a criminal matter. However, if by trashing the house, she is deliberate and malicious damaging of your property, that would be a criminal offense for which the state could prosecute.
California does have civil restraining orders for which you could be eligible if you can show that you are being deliberately harassed. You can read an overview of this which will explain the order and how you'd get it here.