NO, wheat contains gluten but no all things containing gluten are wheat - if that makes any sense. Rye, oats and barley are the other common grains that contain gluten, but they are not wheat.
Wheat is a common allergen but there are others. Did the naturopath say anything about dairy, eggs, nuts, amongst others?
Intolerances can cause behavourial problems and make you feel yuk!! may be why the Naturopath suspects an allergen causing the behaviour.

GOOD LUCK.