Wu Shuang, despite having the character "Shuang" (frost) in her name, possessed a pure Fire Spiritual Root.
She wasn't a disciple recruited from outside by the Yin-Yang Sect of Linshan; she was one of the few who found her way to Linshan on her own.
Before this, she had no knowledge of the Yin-Yang Sect. She only heard people mention that Linshan was home to many cultivation sects, a paradise for cultivators.
So, she came to Linshan with a group of people.
