Forum:MST on Set Traps

Alright Yugi peeps, i was dueling my roommate early and we had a question. If a MST was activated and was targeting a set trap card(face-down trap card), could the trap card still activated? I mean it was destroyed in the first place meaning that the activation it self was stopped. Something like Sakuretsu Armor, it doesnt negate the attack but it stops the damage step to continue, thus no damage to the opponent. So does the trap Card still activate after its destruction? Or is it active even after its destroyed?