Has anyone realized they also had a dairy intolerance after going gluten free?

I have had purple under eyes, dry skin, fatigue and hair loss even though I am on a gluten free diet for a while now. Ice cream and cheese make me sick, so I’m assuming it’s dairy, but I haven’t been tested. Has anyone else realized they had a dairy intolerance? If so, what is your experience?

Thanks to the Courtesy of :

https://www.reddit.com/r/glutenfree/comments/dpbq11/has_anyone_realized_they_also_had_a_dairy/