"Who from our own sect was killed, and when did it happen?"
It obviously couldn't have taken place at Shushan. If it had happened at Shushan, the sect would have uncovered the truth upon investigation, and the gravity of the crime would be clear. Punishment would swiftly follow, and word of it certainly wouldn't reach Kunlun.
To reach the Kunlun Taiqing Sect, the prerequisite is that there's controversy over this crime.
Controversy breeds debate, and if the debate spreads throughout the entire Shushan, only then could it catch the attention of those at Kunlun.
Such reasoning leads to an obvious conclusion. It must have occurred during the Golden Que Secret Realm event, which would explain why Shushan couldn't immediately ascertain the details.
But then the question arises: how could there be a death in the Golden Que, a place where fighting is impossible?
Ling Yunpo decided to gather some intelligence.