cat caught a bat yesterday

hi everyone, yesterday my cat caught a bat that was in a potted plant on our deck. he only had it for maybe 2 minutes until i wrestled it away from him and took it out of the house. i freaked out about it and rushed him to the vet and myself and my boyfriend (who both came into contact with the bat) to the hospital to get treated. the vet said that it didn’t look like our cat had any scratches or bites. my boyfriend and i didn’t either, we just touched it to get it into a tupperware to transfer it outside. i have my cat now on a quarantine after boosting his rabies vaccine but im still over analyzing all of his behavior. can anyone reassure me that he’ll be okay and so will we? or is it just a waiting game at this point? i’m really freaking out about it.