They still only die if they run out of Edge.
Hand of God: this option allows characters to escape certain death. This use of Edge represents another shot at life—something the spirits are rare to provide. The streets have decided that they have more uses for this character before she’s discarded to the trash heap and miraculously pull her from the jaws of Death. Gamemasters can explain this phenomena with any rationale they like, from sheer coincidence to the intervention of the gods. Note that this does not mean the character gets off scot free. The character should not escape unharmed from whatever circumstances would have led to her death. In fact, the character should suffer most of the consequences of the action that would have killed her; if shot in the head, for example, she may be knocked into a coma and appear dead to her enemies, but she will survive to get revenge another day. A character who uses Hand of God should be incapacitated until the end of the current adventure or until the gamemaster deems she has recovered from the side-effects of her close call.
There's no "unless they brought it on themselves" clause in that. I suppose you could put on the viking hat and refuse to allow them to use that rule, but I don't know why you'd want to. "You're not dead, but you wish you were" is almost always more fun (especially for an evil GM).
