No waste of time

He wants to do the job efficiently for Zhongli, so he starts looking for the three: Elton, Garan and Shin, to hear from them and see if they can solve the matter together, making sure nogitsune from Nomori didn't infiltrate Guyun nor any place in the kingdom. Zhongli thinks Nomori wouldn't dare touching Shuguang, but fears she could indeed strike against Lianxi.
Up to you which of them he'll go to first.