Leah Onuschak answered 12/24/2010 I Break Out In A Rash And Hives Whenever I Drink Rum. It Occurs Over My Entire Body. What Would Be The Cause For This? It happens to me all the time! But everytime I drink it, the rash gets worsh the next time! So I'm trying to figure out what is wrong, and what I'm allergic to. I don't want something bad to happen. And there is no information anywhere!