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