Is having sensitive teeth and/or burning gums a symptom of taking digestive enzyme supplements ?

Doubtful, but. . . : The use of digestive enzymes can be beneficial for many patients. The side effects are mostly GI related, with occasional skin rash. So your dental sensitivity is probably not related to the supplements, but it can be related to your diagnosis. Gastric reflux. Reflux can bathe your teeth in gastric acid, more commonly when you are asleep, and result in sensitive teeth and gums.So keep up treatment.

Hard to say: A dentist can help you with your sensitivity and gum problems. Most supplements do not cause this but it can happen if you have an allergy to something in the supplement. Be careful taking supplements. Some can be dangerous. Always talk to a doctor, or a qualified nutritionist when taking supplements. But now see a dentist.