Hi! Moved this to the Infirmary for you.
When you say the claw is broken, do you mean just the nail has been broken? If so, it would be best to clean up any jagged edges with a trimmer, like you said, and use styptic powder, flour, or cornstarch to stop the bleeding. She may need a few days rest to give it some time to heal. Then, it may or may not grow back. I recommend looking into the source of the broken claw, ie was it wire flooring, getting her toe stuck in something, so that you can remedy that to prevent it from happening in the future.
If it is broken bones in her foot or toe, that requires immediate vet care.