His daring escape from Tibet seemed out of a movie. Then only 14, Ogyen Trinley Dorje was one of Tibetan Buddhism’s most revered incarnate lamas, and his journey through the icy passes of the Himalayas was viewed as a major embarrassment for China. The youth arrived in India in early 2000 to a euphoric greeting from Tibetan exiles.

India, though, was less certain about what to do with him. Intelligence agencies, suspicious of his loyalties and skeptical of his miraculous escape, interrogated him and tightly restricted his travel. He remains mostly confined to the mountainside monastery of a Tibetan sect different from his own. And that spurred an idea: He wanted his …