Antonyms of sympathy :
barbarity, greediness, ill-will, malignity, self-seeking, brutality, harshness, inhumanity, niggardliness, stinginess, churlishness, illiberality, malevolence, selfishness, unkindness, indifference, insensitivity, unconcern, cruelty, animosity, antipathy, dislike, hatred, hostility, callousness, coldheartedness, hard-heartedness, heartlessness, coldness, disinterest, inhumanness, mercilessness, pitilessness.
Examples of usage:
It is a small matter whether you and I find ourselves in sympathy with that world, or can never be acclimatised. "Holbein", Beatrice Fortescue.
Judge, you have no sympathy. "Papers from Overlook-House", Casper Almore.
" Oh, Lucy," she cried in a burst of sympathy. "The Emigrant Trail", Geraldine Bonner.