What happens to exploded kittens?
The wording on the exploding kitten card from the rules


  You must show this card immediately. Unless you have a Defuse card, you’re dead. Discard all of your cards, including the Exploding Kitten.


That wording does not indicate that it only happens when you draw it from the deck. So no matter how the card gets into your hand, once it is in there you will have to follow the instructions for it.