High Church vs sect

High Church and sect both are nouns.

Word	Noun	Adjective	Verb	Adverb
High Church	Yes	No	No	No
sect	Yes	No	No	No

As nouns, sect is a hypernym of High Church; that is, sect is a word with a broader meaning than High Church:

High Church: a group in the Anglican Church that emphasizes the Catholic tradition (especially in sacraments and rituals and obedience to church authority)
sect: a subdivision of a larger religious group

Other hypernyms of High Church include religious order, religious sect.

High Church (noun)	sect (noun)
a group in the Anglican Church that emphasizes the Catholic tradition (especially in sacraments and rituals and obedience to church authority)	a dissenting clique
	a subdivision of a larger religious group