Ned reads: "Response: Cancel a triggered effect that chooses a NOBLE character as the only target. Then,draw a card. (Limit once per phase.)"
Asshai Initiate reads: "Any Phase: Discard the top 2 cards of your deck to choose 1 character in any dead pile. Move that character to its owner's discard pile. (Limit once per round.)"
If I use Asshai Initiate to target my NOBLE in my dead pile, can my opponent use Ned to cancel the triggered effect?