Something similar happened to my adult normal. I was keeping him in a plastic tub with a lid and he kept trying to open the top by pushing his nose through the gap. he cut his chin a couple of times, however I didn't consider it enough to warrant a vet visit. I just got a couple of more straps for the lid (this was before I got a rack system) so he couldn't fit his nose through at any points, and I kept putting some antibiotic cream on the cuts, he still has the scars but it's nothing compared to what a rat could do or what you usually find on wild snakes.

The thickness of those cuts would lead me to suggest a vet visit, they'll probably tell you to throw an antibiotic on it and watch her. And definitely hold off on feeding until she's healed.