Here's what rhymes with unprepossessed.
possessed assessed vest zest best rest test west chest arrest guest lest nest professed guessed jest attest obsessed pest behest divest wrest addressed breast blessed dressed pressed stressed confessed crest invest oppressed quest unrest abreast digest blest caressed detest dispossessed suggest request depressed impressed manifest suppressed distressed progressed repressed southwest bequest undressed expressed compressed northwest acquiesced Words that almost rhyme with unprepossessed
theft left deft weft cleft bereft refreshed enmeshed set cent felt percent sent perfect affect assent sect ascent scent sensed vent fetched vexed fenced vet against effect get next went yet direct kept let met accept event meant spent text debt helped net threat belt bent checked dealt descent rent slept stepped swept wet accent bet jet lent melt sweat tent upset beset dissent knelt leaped pet sketched wept wrecked adept cassette epithet flexed intercept intersect leapt decked dent fret necked pent smelt spelt except attempt correct prevent represent consent forget protect reflect select collect commenced detect indirect intellect stretched suspect cement connect dialect elect erect offset crept dwelt invent lament bayonet dispensed dreamt ferment perplexed resent reset tempt beget cadet deflect duet inept infect pipette preset redirect unchecked wrenched subject extent respect expect president intent neglect regret reject cigarette exempt incorrect condensed inspect recollect repent retrospect underwent augment clenched drenched parapet quenched inject orient shipwrecked silhouette transept contempt architect alphabet entrenched outstretched circumvent clarinet disconnect discontent circumspect disrespect quartet