Guild Wars 2

I went to go looking for the kite in Dredge Hauntcliffs. I wandered in on an already open door near Wyrmblood Lake. To my dismay, I arrived on the last bit where you have to kill the Veteran. I assisted in killing it, but I couldn’t find the kite. Now when I talk to Gervvid, he thanks me for having his back. Reading his notes nearby him results in a “No peeping Message” and there isn’t a note on the door he opens. I want my kite.

That sounds like he hasn’t reset yet but you could have gotten the kite when you got in there. It’s in the second room which remains open.