I'm not denying a gluten intolerance - I'm suggesting that the usual reasons for a response to chicken feed dust aren't gluten related. and that ultimately, your chickens eating feed with gluten won't result in gluten contaminated eggs or meat. That's the science.
Now, if the proteins found in ground grain cause so much risk to you that a respirator is necessary for your protection, you should strongly consider getting rid of the birds, and getting that risk factor out of your life.
PLENTY of things you can do to mitigate. Buy whole grain feeds (they have their own problems, well understood, can be worked around) to reduce the dust present. Feed as a wet mash or fermented feed - burying the feed in water will, again, keep down the dust - but you are going to have to have someone pour it in the bucket and cover with water first. Or you can try and buy (at great expense, and limited availability) gluten-free feeds, hopefully made in gluten free factories, and not stored in warehouses where cross contamination is likely. Lastly, you can try and home brew a gluten free recipe for your birds.
I know a lot about poultry feed - its been a focus for about a year now, and I still learn (reasonably) quickly. Its hard enough to make a nutritionally complete poultry feed with the great wealth of ingredients available to us here in the US. I wouldn't attempt it, except in desperation. Remove Wheat, Rye, Barley, Brewer's yeast, Triticale and it becomes that much harder. Triticale is easy to give up. Rye and Barley, too. But wheat is a high protein grain useful for bulking up feed, with some important amino acids hard to find elsewhere.
Look to high soy-content feeds, likely using corn as bulk. See if you can source some teff (not real popular here in the US, but its a great grain - and check it for gluten, I honestly don't know), sorghum, and buckwheat - all are used in high proportions in chicken feeds outside the US, mostly 2nd world countries - but there's some good research on their benefits, their weaknesses, and ways to compensate.
Also, find a local supplier (or online) of small bags of
Fertrells Poultrry Nutribalancer. You are going to need it for additional methionine and some critical enzymes. Not sure if your body's response is severe enough that the high content of modified yeast byproducts is of concern for you - the label only gets you so far.