Here's what rhymes with autiquis.
we qui wee wi wie whieh quis whee be he me she t de see d p pp b c sea v ve key di g tea thee ye fee knee ne si z bee li mi te vii je ni sie ti xi xii xiii ci glee hee hie ki lee nee pea ri ry tee xxi xxii xxiii dd dy gi gli hae ji kb lea mea mee ny quay shi shih thi xxxi yi ze bb chih dee fea fie gee ghee lii nae nie pee qi rhe rny sae sci shee tiie tke xxxii xxxiii xy zi queerly twee three free degree tree agree pre decree ac plea dc flee tlie xvi xvii fc fhe ski tc bc db flea pc pg sv tp xxvi xxvii alii bt dp lhe pari pd prix tb tv xxxvi xxxvii goatee scree tepee wormy epee quinsy saree teepee brie whoopee http cc debris cd exp lessee quelque rupee sd sibi trainee bailee donee ftp jt pensee spree settee banshee bursae curie detainee parolee prithee ranee suttee aurorae emcee gutsy dungaree honoree topee puttee sirree kedgeree soignee tootsie yippee mit trustee disagree devotee esprit foresee marquis addressee assignee grantee jubilee oversee referee apogee appellee appointee legatee marquee vendee amphorae bowsprit oversea retiree abscissae potpourri artsy attendee escapee fusee wannabe conferee deportee draftee sudsy abductee florae footsie inductee guarani paltrier wannabee wintrier guarantee nobody bourgeoisie mortgagee nominee absentee guaranty repartee tympani filigree undersea amputee honeybee manatee timpani calliope internee invitee monody returnee jamboree maharanee sultrier shoetree interviewee licensee consignee diastole hyperbole transferee bumblebee chiropody colossally enlistee whiffletree phonology franchisee axletree singletree whippletree idiosyncrasy