Synonyms for Annoy:

n.

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

v.

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

Other synonyms:

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

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
  3. But to her the man had spoken out; and though he was far away from her, living close to the fair cousin, she would not allow a thought of trouble on that score to annoy her. – The Eustace Diamonds by Anthony Trollope