In a word: Yes.
I know it sounds crazy, but there have been plenty of times when I drank tea and later felt gluten sickness. That was in the early days of my Celiac diagnosis and since then I'd like to think I have become much more savvy in my gluten free ways.
As a law student, I need to be soothed quite frequently. Between the overwhelming reading and the minutely detailed writing assignments, sometimes I just need a break. My friend Elien taught me the values of tea in college. I can't begin to count the number of times that I would go over to her apartment to eat tea and rice cakes while musing over the intricacies of life. I miss those nights...
But anyway, even though I've left college and the East Coast behind, Elien's lessons are still with me out here in L.A. My favorite tea brand is The Republic of Tea, perhaps because ALL of their teas are gluten free! Personally I'm a fan of their line of "Be Well Red Teas" which are caffeine free. There is a complete line of them, including my favorites "Get Clean," "Get Relief," and "Get Gorgeous."
Celestial Seasonings is another great choice for Celiacs, as they clearly mark on each box of tea whether or not it is Gluten Free. Their website also labels every gluten free tea.
Maybe the my favorite tea doesn't really help you "Get Gorgeous," but I do know that it is a great, gluten free way to soothe yourself after a stressful day.
Celestial Seasonings is available at most supermarkets (Ralph's, Gelson's, etc.); The Republic of Tea is normally available in Whole Foods and other similar markets.