Here's what rhymes with intermue.
you u lieu lu rue loo yew yu ewe mieux ru mew roux to who do two new through too few true view due knew blue drew du grew interview que crew threw blew coup flew q qu shoe zu bamboo clue cue dew glue hue queue shew su sue tu undue vous accrue chew cu deux flue fu slew undo untrue zoo brew bu flu hu ju jus ku mu nu peu pew pu seu shu sou thru vu woo boo chou chu coo cou doo feu fue gu hew shou shrew thu tue vou vue wou wu clew goo moo pooh poo shoo gnu slue thew whew phew into pursue screw anew renew debut ensue stew taboo adieu ado piu skew tattoo shampoo sinew sprue tzu vnto askew imbue redo strew halloo spew valuer endue fondue indue muumuu regrew achoo review overview canoe subdue construe jusqu overthrew beaucoup eschew outdo revue outgrew foreknew zebu kazoo marabou bestrew overflew prevue superglue overdrew overgrew wazoo booboo atishoo revenue residue withdrew avenue retinue caribou overdue kangaroo overdo ballyhoo honeydew bugaboo peekaboo buckaroo overshoe hitherto rendezvous barbecue cockatoo hullabaloo misconstrue barbeque