師門 is read as しもん (shimon) and means tutelage.
しもん
shimon
しだん
(army) division
しだんちょう
division commander
ししそうしょう
generation-to-generation instruction from master to disciple
しかん
sieve tube
もん
branch of learning based on the teachings of a single master
ぶもん
division (of a larger group)
にゅうもん
entering through a gate
めいもん
prestigious school, organization, business, etc.
せんもん
sole interest
と
door (esp. Japanese-style)
かんもん
barrier
せいもん
main gate