My understanding, which is admittedly rudimentary, is that some vinegar has gluten, so sometimes mustard can as well, if the vinegar in it does. There are tons of products, both mustards and vinegars, that are gluten-free, though.
I was just thinking back over our dinners this week, and realized that nearly everything we ate can fit your bill. Just accidentally, as we don’t really have any dietary restrictions. The coincidence is amusing.
Monday - from delivery, kebabs combo (could just have lamb or fish or beef) over salad, no bread. Used our own dressing made without any dairy.
Tuesday - leftover pulled pork over mixed greens with cucumber, pickled carrot/daikon and cucumber. Poached egg on top (not sure if that counts as chicken, but could easily be left off)
Wednesday - spicy lamb neck and cauliflower soup, made with no chicken stock or grain/starch/rice fillers, just lamb, spices, veggies and a little wine. I think we used a bit of homemade veal stock, but that’s not necessary either as the lamb is quite rich.
Thursday - raw tuna and avocado with ginger juice and sesame oil. We used a little soy, but it’s unnecessary and could easily be left out for the gluten-intolerant. We also sprinkled chopped scallions on top, but these are also easy to leave off. Plus more of Wednesday’s soup.
Friday - roasted pork chops rubbed with mustard and tarragon, sauteed zucchini, salad with homemade vinaigrette, cucumber, a little feta (not necessary), and roasted red peppers.
Tonight we’re roasting a chicken and will have it with roasted broccoli and more salad, but any protein could be substituted.
I guess we unwittingly cook within your restrictions!