There Ain't No Such Thing As A Free Lunch
Meep. Meep. Meep.
Responses happen first in, last out. Trinkets, Armaments and Relic abilities get activated at "lightspeed" so should happen prior to resolution of "event" cards effects. However, it was also stated that once a card is revealed/played, its cost has been paid and its effect will happen, so you basically cannot use a destroy card to cancel out one of the above mentioned card types abilities. Unless the card played has "END" labeled on it for a type like luck or restrictive or lightspeed cards do. ( we havent seen any "end" cards yet )
So the effect goes on the stack and eventually resolves even if the effect source (trinket, armament, or relic) is destroyed by an event card resolving before the effect resolves?