oversensitive

sensitive, considerate, thoughtful; thin-skinned, touchy, easily hurt. Nick Levinson points out that "oversensitive" is used to characterize uppity minority folk. It has also been used as an epithet for people working on diversity, anti-discrimination, justice, and multicultural issues. It is not clear what the opposite of "oversensitive" would be. Since even being "sensitive" is suspect, it must be "insensitive."