Fister had his teeth cleaned earlier this year, he is 12 years old, so I was worried too, but there was no complications. It did take him a long time to come around though. Don't let her eat anything 12 hours before, and give her only a little bit of water. Ask your vet to give her as little anaesthesia as possible, and make sure you keep an eye on her when she is back home. She will most likely try to jump down from your bed before she really is able to without hurting herself.

Good luck!