"Tea-bag" eyelid? :-\ Hmm.. well, it sounds like pink eye to me. I'd check with the doctor, though, before you start putting any creams or anything on it.
Cold compresses (washcloths wet with cold water) might help it feel better, but you really do need to be checked out by an ophthalmologist to see what is wrong and get the proper treatment.
Yep you need to see the doc and get this taken care of. In the meantime be sure to wash your hands well if you do touch that eye and don't let anyone else use your washcloth and towel as this is contagious if is pink eye.