Quick dry super glue is a good way to close off the would and prevent infection. Most groomers use a form of super glue when they cut too far into the quick. Apply it very carefully and keep the dog still until it sets. Make sure you keep her comfortable and resting for a few days as I imagine the paw is quite sore. Good luck :)
I am so sorry about your dog. She seems to be in so much pain but you will have to get her some pain killers. You also need to disinfect the wound and tie is with a clean cloth to prevent an infection to the wound. You also need to call a vet to examine the dog.