I was completely surprised that Celebrity didn't dedicate one of the pods in the Ocean View Cafe to gluten-free foods. Royal does in the Windjammer, so I figured it would be the same with X since they're under the same corporate umbrella. Granted that doesn't keep people with biscuits and such on their plates from going over there - saw some kids drop a biscuit (like an actual biscuit, not a cookie) on the bacon at the gf pod on Royal one morning then pull it off...but for some that would have been Trouble - I immediately got the attention of the crew member in the pod and told him what happened and he immediately removed the pan and replaced it with a clean one.
I also found that some things were labeled gf when they weren't - or more that the labeling wasn't consistent in that some times the allergens listed on the label card were what was in there and others what wasn't but no consistency. So I started just asking if I had questions. (What I do with zero issues on Disney - I get a walk-through with a supervisor in the buffet area, they record what I'd like, and have a clean plate made up in the back. Easy peasy.)
I had no issues in the main dining rooms or in Eden when I had dinner there.
As for the grill, I opted for a lettuce wrap - saved the calories and the inevitable crumbling to bits before I'm done of gf buns.