I haven't found anything definitive in the book, so I can only assume answers based on omission.
The question I've been trying to answer is: If a person's roll nets them 1 triumph and 1 threat after all cancellations... what happens? I know Triumphs count as one success. And they can be used for things that normally cost Advantage. But it doesn't appear that Triumph cancels out threat.
I've been playing that Triumph doesn't touch threat, but Triumphs always resolve regardless. And any remaining threat then also resolves.
So in my example of 1 triumph and 1 threat, I would rule that as "While you crit with your weapon, you exerted yourself to make the shot and suffer 1 strain." Or the equivalent.
Does that sound right to you guys?