It wouldn't be much of a loss for Qiong-Hua Palace to set free of Yue Gongxue. They might be a bit degraded, but if they did it properly, they might earn some credits of supporting a much-told love story. On the contrary, if they lost Shuang and Han, it would rip them off.
The two ladies were pretty significant and influential in Qiong-Hua Palace after all.
The problem was that because of the two ladies incitement, people looked at the Moon Queen with hostility in the eyes.
[The ladies are right! A faithless person will not live long in the world! How can we trust a deceitful person? As the prime master of Qiong-Hua Palace, how could you backtrack like that? How could you be our the Moon Queen?]
[If you are not even entitled to be a proper person, how do you lead our sect?]