a racially 'insensitive' comment [=an offensive comment about a person's race]
Managers must not be 'insensitive to' the needs of their employees.
He was 'insensitive to' the risks involved in starting a business.
(..) - Why tell her? - Shut up and watch. Be nice to Bambi. Why's he got to try and die every day during my lunch? That's insensitive. Mistake. Man's , has dementia, doesn't know we're here. He is inches from Carla's rack and hasn't flinched. (..)2001 TvShow: Scrubs Title: My First Day Season: 1 Episode 1