Synonyms for Disesteem:

n.

contempt (noun)
insult, antipathy, invective, disparagement, denigration, derision, contempt, indignity, Hauteur, scorn, disdain, deprecation, ridicule, contumacy, disfavor, renouncement, mockery.
disapproval (noun)
disrespect, disfavor.
disesteem (noun)
disrespect.
disrepute (noun)
notoriety, dishonor, scandalousness, shamefulness, disrepute, sordidness.
disrespect (noun)
impropriety, impudence, disrespect.
insolence (noun)
discourtesy, arrogance, audacity, insolence, brashness, rudeness, sauciness, callousness, boldness, impertinence, presumptuousness, irreverence, disrespectfulness, Contemptuousness, brazenness, defiance, derisiveness, effrontery.

v.

cognition (verb)
disrespect.
disapprove (verb)
discountenance, deprecate.
disrespect (verb)
soil, stain, sully, smear.

Other synonyms:

discountenance, deprecate. disapprove. condemn
disapprove.
Other relevant words:
discountenance, disapprove, take a dim view of, not go for, object, take exception to, dishonor, hold no brief for, deprecate.