I am no expert but I highly doubt it is the skin keeping the fuzzy from moving further down. It sounds to be like the food item is simply stuck and she seems to be in discomfort from how you are explaining her actions. I think it is time to look for a herp vet.

But please, feed her larger prey after this. A fuzzy mouse is not big enough for her. My 7 month old male BP eats prey five times that size every 5 days - to give you a better idea of what she should be eating.