American in Chile
A player with an abducted bunny and no other bunny in The Bunny Circle may not play any Aggressive cards (cards that have a Pink rectangular box) including a Choose A Carrot card. An abducted bunny cannot count towards a Bunny Triplet because it is not in The Bunny Circle. At the end of the game, a player with only an abducted bunny may still win the game (since the bunny is still alive).
I'm not sure whether this situation has ever come up for us. We've always played (perhaps erroneously) that the bunny returns at the end of the game. The way it's written, it appears that you would ignore the abducted bunnies when you're looking for the proper recipient for the carrots. This might be something to ask them about, and post their response. There's a link at the bottom of that same page.