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