Hi Gracie, are you still eating dairy? If you are it may help to eliminate all dairy for a while. Celiac disease destroys the villi that make the enzyme to digest diary. So people often have problems with dairy at first. Also, many adults lose the ability to digest dairy anyway, as lactose intolerance is somewhat common in the population. Eliminating all diary for a while is good, cheap and quick way to determine if it is a problem.
Please check all your meds and vitamins for gluten. Even meds your doctor prescribes may heave gluten in them. Another possible gotcha is gluten-free replacement foods. Sometimes people aren't used to the different flours and gums and such that they used in them. So they can have reactions to them for a while. So avoiding them at the start is a good idea.
Avoiding sugar and carbs may help too. When you stop eating gluten and start healing, that is a large change on the diet of your gut bacteria. Plus the increased surface area of renewed villi provide a larger surface area for them to inhabit and multiply on. They may get out of whack and start making lots of gas and toxins. Feeding them lots of sugar and carbs just encourages that activity. Sticking with meats and veggies is good idea.
You may get some relief by adding fiber, like psyillium husks to your diet. you can get large containers of psyillium husks at health store for not much money. Just sprinkle a teaspoon or so on your food before you eat it.