Here's what rhymes with secretest.
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deft left theft bereft weft cleft refreshed enmeshed text debt belt bent checked dealt bet jet tent pet decked dent pent get next set went yet cent direct felt kept let met sent meant spent net reject rent stepped wet lent melt sect dwelt knelt leaped repent scent sensed vent wept wrecked adept dreamt fetched leapt reset tempt vexed duet fenced necked redirect spelt vet against effect percent respect attempt correct event perfect affect helped protect threat descent detect intent slept stretched swept assent elect erect sweat upset ascent beset condensed crept dissent lament sketched drenched flexed resent beget cadet fret inept inject orient pipette preset smelt unchecked wrenched subject except extent accept expect prevent consent forget reflect select collect commenced contempt indirect regret suspect accent architect cement connect dialect offset alphabet inspect invent augment bayonet cassette clenched dispensed epithet ferment parapet perplexed quenched deflect infect quartet shipwrecked represent president intellect neglect cigarette exempt incorrect entrenched recollect underwent intercept intersect outstretched circumspect circumvent clarinet silhouette transept discontent retrospect disconnect disrespect