Enrofloxacin is Baytril, just the generic name, so I think the vet gave the proper antibiotic treatment. So the most important thing is keeping the affected area clean as described by The Omen and ETET.
Burns take much longer to heal in reptiles than in us humans because we shed our skin cells daily and regenerate new ones. Reptiles' skin is totally different in its regeneration and it can take several shed cycles to really see normal tissue growth after what looks like a fairly deep burn.
Of course, I'm not a vet so don't take this as any sort of treatment plan and medical advice. I am a former veterinary surgical tech who has seen a lot of burn injuries though, and that's what it looks like to me. To me it looks like she was coiled around either a hot rock or a light fixture.
The Zombie Mama is here!