Callous
Part of speech: adjective
Definition: Emotionally hardened; unfeeling and indifferent to the suffering of others. Having calluses.
Example sentence: I know that in the battle of ideas, Republican politicians are at a distinct disadvantage. Their fundamental philosophy - which I characterize as survival of the fittest, richest and whitest - is too callous for most Americans.
Insensitive
Part of speech: adjective
Definition: not having normal physical feelingnot having normal emotional feelings, cold, tactless, undiplomatic
Example sentence: There are certain things I don't want to joke about. If it's about somebody else, it's fine. If it's about me, I think it's totally insensitive!