Depending on the area of the cut and the severity, a vet might not be needed. I never call a vet for a cut unless it needs stitches. In the event of a wound that can't be stitched, I treat it like an open wound and just pick up antibiotics from the vet since I already know what he'd say. I'm guessing the OP noticed the swollen teet when she was doctoring the leg and just happened to look up.
I can't offer help on the teet topic. I'm curious what others will say.
And those who were seen dancing were thought to be insane by those who could not hear the music