The Divine Woman Sect is also compelled by circumstances!
Having the Sect Master personally take action, without much certainty of victory, is definitely a last resort. For any sect or power, the Sect Master represents the face of the sect.
In the city dispute between the Divine Woman Sect and the Ghost Leaf Sect, if the Sect Master of the Divine Woman Sect personally intervenes and ultimately wins, that's fine. But if they lose, the Sect Master's reputation will be damaged, and the entire sect will suffer a significant blow.
Moreover, both the Divine Woman Sect and the Ghost Leaf Sect are considered reputable forces in the All Paths World. Their city dispute garners widespread attention. If the Sect Master of the Divine Woman Sect gets injured in the battle, the situation would become even more awkward for the Divine Woman Sect.