suzerainty vs demesne

suzerainty and demesne both are nouns.

Word	Noun	Adjective	Verb	Adverb
suzerainty	Yes	No	No	No
demesne	Yes	No	No	No

As nouns, demesne is a hypernym of suzerainty; that is, demesne is a word with a broader meaning than suzerainty:

Other hypernyms of suzerainty include domain, land.

suzerainty (noun)	demesne (noun)
the domain of a suzerain	territory over which rule or control is exercised
the position or authority of a suzerain	extensive landed property (especially in the country) retained by the owner for his own use