great care vs tutelage

great care and tutelage both are nouns.

Word	Noun	Adjective	Verb	Adverb
great care	Yes	No	No	No
tutelage	Yes	No	No	No

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

great care: more attention and consideration than is normally bestowed by prudent persons
tutelage: attention and management implying responsibility for safety

Other hypernyms of great care include care, charge, guardianship.

great care (noun)	tutelage (noun)
more attention and consideration than is normally bestowed by prudent persons	teaching pupils individually (usually by a tutor hired privately)
	attention and management implying responsibility for safety