beset vs annoy

beset and annoy both are verbs.

Word	Noun	Adjective	Verb	Adverb
beset	No	No	Yes	No
annoy	No	No	Yes	No

As verbs, annoy is a hypernym of beset; that is, annoy is a word with a broader meaning than beset:

Other hypernyms of beset include bother, chafe, devil, get at, get to, gravel, irritate, nark, nettle, rag, rile, vex.

beset (verb)	annoy (verb)
assail or attack on all sides:	cause annoyance in; disturb, especially by minor irritations
decorate or cover lavishly (as with gems)
annoy continually or chronically