Dry Patches On Scalp, Ear, Hypothyroidism And Vitiligo. Prescribed Shampoo, Ketoconazole. Applied Apple Cider Vinegar. Suggest

help. my 12 year old daughter has had random patches of hard dry crust like patches on her scalp for about 4 months now. also it looks similar in her ear. I've taken her to the doctor and she was prescribed a shampoo, ketoconazole. shampoo is gone, patches not. I have tried soaking her scalp in olive oil, changed shampoo/cond.,applied apple cider vinegar to affected areas, over wash/less wash hair, dandruff shampoo the list goes on. My little girl has hypo- thyroid ,turners syndrome and Vitaligo . Her Endo tells me she has autoimmune deficiency. With everything going on health wise with my little girl the last thing she needs is another ailment to add to the list. She is a beautiful kind soul and an awesome kid. I just want to help clear this up before she starts junior high in the fall. Thank you.