Glad to read you now know another element of what you are trying to address! Diagnosis is so often the first battle of the war won. I think it partly depends what level you have cut down from and to, what sources you have cut and what you have retained, what you are replacing those foods with.
Over the short term
the Clever Guts diet is about eliminating (and thereby identifying) our problem foods. But over the medium to long term it is about *increasing* variety of wholefoods, and thus increasing variety in our gut flora.
It should not be too hard to drop the major sources of processed wheat, added sugar, milk, processed cheese. MUCH tougher to remove all traces of gluten and sugar, since these are hidden in so many flavourings and ingredients.
Be sure to eat plenty of oily fish, organic eggs, seeds or nuts that are lowest in omega-6, extra virgin olive oil. The right balance of fats is anti inflammatory: direct impact on the gut, also incorporated into skin cells, hormones, immune cells over time.