Wheat allergy is another common affliction, and can cause stomach upset, eczema, allergic rhinitis, asthma and anaphylaxis. Avoiding wheat isn’t easy, as many unsuspecting products contain it, including ice cream and ketchup. Wheat contains the proteins albumin, globulin, gliadin and gluten, and wheat allergies are often confused with gluten sensitivity. While gluten is found in wheat, the abnormal immune reaction people experience toward it is called celiac disease.