We use “gluten intolerance” when we talk about the entire category of gluten issues: celiac disease, non-celiac gluten sensitivity and wheat allergy.
Celiac disease refers to an inherited autoimmune disorder that can affect the digestive process of the small intestine.
Non-celiac gluten sensitivity or what a lot of people dub as gluten intolerance causes the body to mount a stress response (usually GI symptoms) different from the immunological response that happens in people who have celiac disease (which usually causes intestinal tissue damage).