I doubt very much that this is anything serious. If I were you I'd try some home remedies or even just wait and see before I spent very much money on a doctor. If you have insurance you could take her if you are worried.
I've had peeling skin on my toes and was told that it was caused by my feet being too warm and moist. One time it was when I hiked in leather boots. Both my daughter as a child and myself as a child and an adult have had peeling skin without pain or itchiness when we've worn shoes made of man made material causing our feet to remain moist and warm over a period of time.
I think that my mother called it scald. The cure is to keep one's feet dry and cool. Change socks whenever they are moist. This may be more than once a day especially if shoes are made of man made material that doesn't breathe or allow moisture to escape.
I am now sure to buy only fabric or leather shoes and change my socks every day whether or not they appear soiled.
My grandchildren wear croc style shoes mostly with socks except in hot weather. Their "crocs" have many open spaces which allows moisture to escape. I'm guessing that when it's rainy or wet and the temperature is cold that the moisture might not evaporate.
When my daughter and now my granddaughter wear thongs most of the day their toes peel even tho they don't have blisters. I think, as another mother suggested, that gripping the plastic rubs away skin.