For some, gluten is an issue. For others, it is not. It would not hurt to reduce gluten levels since most gluten grains have excessive amounts of gluten due to modern hybriding for increasing crop yields. Heritage wheats and such have much lower gluten levels that the body is more able to process.

A week or two of a gluten free diet should give you a good idea. It may be tough to eliminate all gluten since it is in many foods.