After he had completed training, one of our Zen ancestors, Tiāntóng Zōngjué (天童宗珏, Heavenly Child Clan of Jewels; J. Tendō Sōkaku; 1091–1162), appeared in the world as a teacher.
Yes, the source text has the phrase "in the world."
Keizan notes in his Denkōroku (Record of the