The human skin map was discovered within one of Qu Xin Rui's room and Jun Wu Xie's goal for coming to the Thousand Beast City was finally achieved. But she did not leave the place immediately but had remained behind temporarily.
Qu Ling Yue did not make any attempts to kill herself and she made her final choice showing it through her actions. She lived on, begging Jun Xie to cure her father.
In fact, even if Qu Ling Yue had not requested it, Jun Wu Xie would still have done that all the same.
Qu Wen Hao had used the Spirit Taming Bone Flute to gain control of Lord Meh Meh and only he would be able to remove that, or if he was dead, then would Lord Meh Meh go back to normal.
Jun Wu Xie had obviously no intentions to kill Qu Wen Hao.