This question came up in regards to cards like Ride them Down, an event card with:
Challenges: Choose an attacking Dothraki or Knight character. That character gains renown until the end of the challenge.
Response: After you win a Power challenge by 4 or more total STR, return Ride Them Down from your discard pile to your hand.
Now, when exactly does this event reach the deadpile? After the response-window opened after it is played? If so, can you trigger its recursion-ability at the end of the same challenge within which it was played?
As always, thankful for any replies!