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