Imperil rhymes with:
peril, baril, behrle, berrill, beryl, burel, burell, caryl, ceryl, cheryl, darrel, darrell, darryl, daryl, deryle, erol, errol, farrel, feral, ferol, ferrall, harrell, herrell, herrle, jerel, jheryl, karel, merrell, merrill, meryl, meryll, ofarrell, peril, purile, sharyl, sherrell, sheryl, sterile, terral, terrel, terrell, terrill, there'll, therrell, verrall, wehrle