tutelage vs pedagogy

tutelage and pedagogy both are nouns.

Word	Noun	Adjective	Verb	Adverb
tutelage	Yes	No	No	No
pedagogy	Yes	No	No	No

As nouns, pedagogy is a hypernym of tutelage; that is, pedagogy is a word with a broader meaning than tutelage:

Other hypernyms of tutelage include instruction, teaching.

tutelage (noun)	pedagogy (noun)
teaching pupils individually (usually by a tutor hired privately)	the profession of a teacher
attention and management implying responsibility for safety	the activities of educating or instructing; activities that impart knowledge or skill
	the principles and methods of instruction