How is Celiac Disease different from wheat allergy? People can also have other medical problems, besides Celiac Disease, when they eat wheat or gluten (a protein composite from in wheat) and related proteins. Wheat allergy or an intolerance to wheat is one of the top 8 food allergies in the United States. Allergic reactions after eating wheat may include reactions in the skin, mouth, lungs, and even the GI tract. Some symptoms of wheat sensitivities can include rash, migraine headaches, inflammation, wheezing, lip swelling, abdominal pain and diarrhea. The branch of the immune system activated in allergic reactions is different from the branch thought to be responsible for the autoimmune reactions of Celiac Disease. Eliminating gluten 100% from a persons diet is the only way to get accurate results if one is allergic to wheat.