Here's what rhymes with destructure.
                        
                        
                    
                                structure  restructure  superstructure  substructure  infrastructure  Words that almost rhyme with destructure
instructor  abductor  constructor  conductor  superconductor  semiconductor  rupture  trucker  culture  brother  younger  lover  rubber  juncture  puncture  rudder  runner  drummer  rougher  sucker  blubber  plumber  succor  vulture  plover  disjuncture  fucker  lugger  pucker  splutter  tucker  mother  color  cover  summer  suffer  butter  hunger  buffer  sulphur  supper  vulgar  lumber  molar  plunder  sulfur  blunder  butler  comer  cutter  flutter  gutter  lustre  shudder  shutter  youngster  bunker  clutter  gunner  hover  ligature  luster  mutter  paler  plunger  tougher  bluster  buzzer  duller  erasure  tuber  bugger  crusher  embrasure  muffler  putter  scrubber  sputter  stutter  gazer  huckster  hussar  monger  mugger  another  number  discover  wonder  recover  cluster  sculpture  thunder  hunter  ocular  muster  slumber  bumper  tumbler  jumper  premolar  smother  duster  juster  pustular  sunder  tricolor  agriculture  asunder  uncover  acupuncture  horticulture  midsummer  coadjutor  conjuncture  outnumber  adjuster  pentameter  smuggler  sculptor  aquaculture  counterculture  rediscover  undercover  watercolor  encumber  filibuster  chronometer  cartographer