Everyone he touches stops existing.
She wants to disappear.Kate meets the Gauze Man at a time in her life in which she feels it's best to not be part of the world anymore. He just wants to get through life with the knowledge that his Midas touch can turn a human being into a slick of oily goo. All she needs to do is convince him to touch her. All he needs to do is never touch anyone ever again.
The Touch is Part 1 of The Gauze Man story which explores the intimacy of despair in a world where the "nothing" is a living thing, waiting for the right mix of personality to escape and envelope our world.