Synonyms for Annoy:

n.

madden, drive someone mad. feelings, bug, ruffle, pain. beset, beleaguer, plague. annoy (noun)
get to, gravel, bother, irritate, nark, rag, get at, rile, chafe, vex, nettle.
pester (noun)
study atbother.

v.

aggravate (verb)
envenom, rankle, arouse, discompose, disturb, harry, antagonize, badger, grate, perturb, enrage, upset, trouble, exasperate, pester, inflame, exacerbate, peeve, bedevil, infuriate, torment, nag, harass, chafe, needle, bait, aggravate.
bore (verb)
bore, weary, dull, tranquilize, fatigue, tire, sedate.
displease (verb)
displease, disgust, shock, rile, offend, anger, repel, jar, scandalize, disappoint, aggrieve, provoke.
emotion (verb)
get to, gravel, bother, irritate, nark, rag, get at, rile, chafe, vex, nettle.
irritate (verb)
hassle, acerbate, irritate, fret, vex, bother, irk, tease, pique.

Other synonyms:

madden. beleaguer, plague. ruffle. bug. beset. needle
bait.
Other relevant words:
get at, pain, madden, bug, get to, nettle, gravel, beleaguer, feelings, ruffle, rag, nark, beset, plague.

Usage examples for annoy

  1. Glendinning had been represented to my eager inquiries as immeasurably wealthy; and the sums which he had as yet lost, although in themselves vast, could not, I supposed, very seriously annoy much less so violently affect him. – Selections From Poe by J. Montgomery Gambrill
  2. I did not intend to annoy you. – The Puppet Crown by Harold MacGrath