Elaida's first foretelling was right. Rand's task at Tarmon Gaidan is to Travel Elayne and Morgase to Shayol Ghul where they bore the Dark One into voluntarily being bound away from the world just to stop hearing them.

First they'll relate how they had a bath, but a noble house didn't agree on how hot the water should be, so their was much political discussion on how hot it should be. Of course by this time the water was cold, so they tell the dark one it was of course Rand's and Tallavnor's fault for being men. Then one of them mentions some silk needing a clean and the screams of the Dark One begging for mercy can be heard in the Towers of Midnight.