Could diverticulosis be misdiagnosed celiacs

Patient: At 19 I was diagnosed with diverticulosis and at 20 had an attack. Now, at 23, my 3 month old daughter has some form of food allergy and I am on an allergen free and gluten free (I have a niece with celiacs) diet so I can continue nursing. After being off gluten for weeks I had a bagel and that resulted in severe stomach cramps and diarrhea. Could I have been misdiagnosed or also have celiacs disease?

Doctor: