Remember, neither of these options are time limited, they happen in the story at the exact time that we say they do. There's no fear of rejection here. That being said, the timing makes the most sense for Xuan Shi. Zhengui just woke up and he looks a little small, so it makes sense for either Xuan Shi to come over to express his congratulations and ask for a favor, or for Ling Qi to go to him to ask for Xuan Wu health advice. Also, it seems like social actions are going to be our main source of interesting exploration now, so we should try to get more of them.
[X] Xuan Shi: For once, the odd boy has called in your offered favor. He wishes for your aid in penetrating the interior of an odd little temple full of traps and puzzles.