Here's what rhymes with countered.
                        
                        
                    
                                encountered  Words that almost rhyme with countered
foundered  floundered  outward  downward  coward  cowered  cowherd  cowbird  powdered  powered  southward  scoured  showered  towered  soured  glowered  dowered  flowered  empowered  devoured  embowered  overpowered  deflowered