Where are you located? You should definitely take your cat to an emergency vet, so, please follow Deanie's advice about calling your own vet's number and they should tell you who to call.
Hopefully you are not in this storm going through the US with ice, etc.
Depends on how far your cat pulled out the nail. She may need a stitch or two.
When you get a chance, get some Styptic powder at your local pet store, that you can mix up as a paste for bleeding wounds in cats.
Sending lots of prayers that you are able to get help ASAP for a serious bleeding wound such as this.
((HUGS)),
Jean and Charcoal (GA)