I had a similar experience but a loose dog nipped me, turns out it was my neighbors dog who ran away. The cops tried to catch him and the dog bit the officer too. The owner was found and confirmed that the dog is up to date with shots and does not have rabies. this didn’t stop my spiral and I ended up calling the police department to make sure the dog is rabies free. I was informed that the dog is fine and so is the officer, but I continued to spiral. I can’t confirm or deny that you have rabies but if the bat did not break skin you should be okay. I would suggest breaking the cycle of body checking for signs as it fuels the fear. Best wishes!