Annoyed rhymes with:
noyd, avoid, baroid, bloyd, boyd, boyde, cloyd, deployed, destroyed, devoid, employed, enjoyed, floyd, freud, gloyd, lloyd, loyd, noyd, overjoyed, redeployed, royd, steroid, toyed, underemployed, unemployed, void
Annoyed sounds like:
aamodt, aeneid, ahmad, ahmadi, ahmed, ahmoudi, ahumada, aimed, aimetti, ain't, amadea, amadeo, amado, amadou, amanda, amante, amati, amato, amedee, amend, amended, amenity, ament, amenta, amid, amidi, aminta, amiot, amit, amitai, amity, ammonite, amount, amounted, anand, anantha, and, andie, ando, andy, anette, animate, animated, aninat, anita, annaud, annett, annette, annotate, annotated, annuit, annuity, anode, anoint, anointed, anonymity, ant, antaya, ante, anted, anthea, anti, antidote, aument, aunt, auntie, ayende, aymond