annoyance vs unpleasant person

annoyance and unpleasant person both are nouns.

Word	Noun	Adjective	Verb	Adverb
annoyance	Yes	No	No	No
unpleasant person	Yes	No	No	No

As nouns, unpleasant person is a hypernym of annoyance; that is, unpleasant person is a word with a broader meaning than annoyance:

Other hypernyms of annoyance include disagreeable person.

annoyance (noun)	unpleasant person (noun)
the act of troubling or annoying someone	a person who is not pleasant or agreeable
something or someone that causes trouble; a source of unhappiness
anger produced by some annoying irritation
an unpleasant person who is annoying or exasperating
the psychological state of being irritated or annoyed