The card game didn't have the same audience as the comments made. Also you are making assumptions about how she plays the game and what she would find funny.
I do believe the person intended the joke to be private. It wasn't smartest or most mature thing to do, but I don't think it's much different from a couple guys texting each other jokes and Adria just happened to caught a glance of their cellphone screen.
agreed card game is completely irrelevant in completely different setting. very funny game btw.