If you describe someone as insensitive, you are criticizing them for being unaware of or unsympathetic to other people's feelings.
I feel my husband is very insensitive about my problem.
我感到丈夫对我的问题麻木不仁。
Someone who is insensitive to a situation or to a need does not think or care about it.
women's and Latino organizations that say he is insensitive to civil rights.
指责他漠视民权的女性和拉丁美洲人的组织。
Someone who is insensitive to a physical sensation is unable to feel it.
He had become insensitive to cold.
他已经感觉不到寒冷了。