I can't fathom how CA law applies since poster seems to be posting from AZ ... and this has nothing to do with the guy being a renter as such (which doesn't imply she doesn't have to follow eviction procedure to get him out).

No, getting a restraining order doesn't circumvent eviction process. You must understand that TROs are temporary by nature and you don't want the dude coming back after a later hearing when he establishes to a court's satisfaction that there's no reason for the order. You will want to proceed with eviction action. Seek local counsel if needed.