Can Annihilation be played on Restraining Order?

[munchkinite]

Thanks for the clarifications.

@MunchkinMan:

The very text of Annihilation says that it cancels a card that has just been played, so Restraining Order doesn't actually go into effect because of Annihilation. It's one of the very, very few cards in Munchkin that has such an effect.

I'm still uncertain about the timing. Does the immediacy of playing Annihilation on Restraining Order matter? Given the scenario provided by StaticHamster for instance:

If Restraining Order is in effect, as in it was put down and another card has been put down...

So in this case where the other card played after Restraining Order is not Annihilation, would the player, who Restraining Order is targeting, still be able to use Annihilation? In other words, does Restraining Order make Annihilation time-sensitive?