Here's what rhymes with admonishment.

Consider these alternatives

reprimand / hand admonition / position rebuke / puke admonitions / conditions reproof / use admonishing / astonishing rejoinder / pointer approbation / operation salutation / operation chiding / providing scoldings / holdings contrition / position exhortation / operation exhortations / relations denunciation / relation disapprobation / operation denunciations / relations entreaty / treaty modifier / codifier rebuff / enough castigation / education missive / wishes reprimanding / understanding discouragement / encouragement humility / stability chastising / rising