You may have to insist on this as many doctors tend to resist the possibility of celiac disease. If it is celiac disease, then the exclusion of wheat and other sources of gluten will make for a major improvement in your daughter's health. Consultation with a nutritionist and the use of supplements will be helpful.
(2) Give your daughter vitamin D3 in the dry form. This is more readily absorbed when the intestinal system is damaged by a malabsorption disorder.
You gave very good advice. Both my children and I are Celiacs. It kills our ability to absorb many nutrients.