Here's what rhymes with uae.
                        
                        
                    
                                they  may  day  way  say  pay  re  lay  j  array  bay  gay  k  ray  che  hay  nay  weigh  fay  fe  yea  dey  hey  ley  rei  sei  whey  jay  kc  lei  payee  rea  rj  tae  wei  bey  neigh  cay  fey  roue  shay  reweigh  away  play  stay  clay  essay  gray  grey  obey  pray  okay  prey  repay  sway  tray  fray  oj  slay  allay  bouquet  ij  ok  sleigh  bj  bk  drei  fj  tj  tre  zwei  bray  dray  flay  brae  moray  toupee  trey  aurae  spay  aweigh  today  delay  survey  decay  spray  ballet  cafe  stray  valet  cliche  fillet  passe  puree  replay  saute  alleyway  crochet  croquet  parquet  risque  souffle  belay  filet  inveigh  splay  airplay  nisei  prepay  purvey  sachet  sorbet  hooray  noway  urethrae  briquet  hurray  layaway  copay  anyway  convey  everyday  holiday  betray  dismay  halfway  portray  astray  runaway  attache  defray  disarray  faraway  lamellae  overlay  cabaret  dossier  francais  gangway  naturae  toothache  lingerie  soiree  wordplay  caraway  ricochet  throwaway  byplay  pleurae  resurvey  soubriquet  flyaway  overpay  sickbay  outplay  outstay  umbrae  uvulae  tearaway  respray  display  yesterday  underway  disobey  papillae  protege  waterway  emigre  matinee  microarray  nebulae  underlay  breakaway  getaway  sobriquet  workaday  carriageway  fibulae  giveaway  hideaway  patellae  stowaway  macrame  overplay  overstay  roundelay  caesurae  medullae  underpay  bobsleigh  copulae  foldaway  misplay  walkaway  formulae  interplay  vertebrae  communique  naivete  passageway  sequelae  societe  fistulae  maxillae  scapulae  straightaway  cabriolet  castaway  stingray  takeaway  underplay  tarantulae  salmonellae  cybercafe  penumbrae  trabeculae  companionway  caravanserais