I feel my husband is very insensitive about my problem.

我感到丈夫对我的问题麻木不仁。

《柯林斯英汉双解大词典》

I think it's very insensitive.

我觉得这很难对上。

youdao

However, since demand is actually quite insensitive to price in the short run, it takes a very large price rise to bring global demand into line with supply.

但是，由于短期内需求实际上对价格十分不敏感，因此就需要非常明显的价格上涨才能使全球需求与供应保持一致。

youdao

"It was very impersonal and very insensitive, " he told CNN.

CNN: SMS 4U: U R sacked

It's very insensitive, and it's very racist.

NPR: Hezbollah's Evolution from Militants to Politicians

If you have to plead, "it was a joke" then obviously it wasn't, or at the very least, ill advised and insensitive.

BBC: Religious satire: Is it beyond a joke?