Here's what rhymes with enigermate.
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made maid laid page paid shape wage rage shade tape cage conveyed gauge rape weighed bade fade raid sage unpaid arrayed babe cape gage grenade jade wade stage trade played afraid grade engage stayed blade prayed forbade grape invade obeyed parade surveyed cascade decayed evade spade swayed arcade braid frayed pervade sh staid decade escape delayed brigade persuade blockade crusade degrade dismayed repaid scrape sprayed upgrade homemade lemonade outweighed overlaid strayed displayed betrayed barricade disobeyed dissuade masquerade promenade renegade stockade portrayed videotape retrograde based faced shaped taste waste faint paint haste saint waist baked chased paste chaste laced paced raced raped taint raked taped placed complaint traced quaint spaced acquaint braced draped erased debased effaced encased graced staked escaped constraint embraced misplaced scraped replaced displaced restraint disgraced distaste vouchsafed