It's an autoimmune disorder caused by a reaction to gluten, and it causes many different symptoms that can be distressing and potentially dangerous. Many people suffer from undiagnosed celiac disease, and one of the symptoms of this type of disease is anxiety.Below, we'll examine the relationship between anxiety and celiac, and what you can do about it. Dealing with any long term physical health issues may result in the development of anxiety. 2  Sleep Loss Celiac disease also causes sleep issues. 3  Sleep is one of the most important tools for controlling anxiety. 4  In fact, sleep debt can lead to severe anxiety symptoms if you are unable to make up your sleep.