Also I think that a man of Pei Mei's infinite wisdom (and old age) would have sensed that his end was near. Knowing that and given that Beatrix was his most determined and driven student who completely submitted to his teachings... He trusted her and knew she would never abuse his power. So he passed them down to her. Thus, the White Lotus would live on in her. Brilliant.
Chosen answer: He probably trusted Kiddo more then his other students that she would never use it unless necessary.
MasterOfAll
Also I think that a man of Pei Mei's infinite wisdom (and old age) would have sensed that his end was near. Knowing that and given that Beatrix was his most determined and driven student who completely submitted to his teachings... He trusted her and knew she would never abuse his power. So he passed them down to her. Thus, the White Lotus would live on in her. Brilliant.