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