question mostly about priority

the question is about the priority game mechanics, and the card i used was steelswarm girastag.

his effect is
"You can Tribute Summon this monster in face-up Attack Position by Tributing 1 "Steelswarm" monster. When you Tribute Summon this card with a "Steelswarm" monster as a Tribute, you can select 1 card your opponent controls and send it to the Graveyard, and gain 1000 Life Points."

if i use his effect to send a face down trap, and the trap was a torrential tribute, would my opponent be able to use it in order to destroy my girastag, or would priority allow me to send it to the grave before he can activate it.

now that i start thinking about it, its starting to seem like he would be able to but i just want to ask to make sure about everything in this situation

Girastag ACTIVATES his effect and declares a TARGET for his effect (the set torrential tribute). Your opponent now has the opportunity to respond to the effect of Girastag with any card thats activation requirements are met. A monster was just Summoned so Torrential Tribute may be activated and chained to the effect of Girastag.

and the chain resolves backwards

chain link 2: torrential destroys all monsters on the field
chain link 1: steelswarm girastag's effect resolves sending the targeted torrential tribute to the grave and gaining you 1000 lp

ok thanks for answering my two questions guys