I hope your hand is feeling much better soon, Tracey. I know how sore those puncture wounds are. I remember Jessica bit me once, and oh did it sting! She got me, Alec and the vet with one swish of her head, so it probably wasn't a deep one, and we didn't need any further treatment.
Many years ago, the first time we took Daisy to the vet, she was a very very scared little girl. She sunk her teeth into Alec's arm and hung on for dear life. He needed a course of antibiotic injections after that one!