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