be sensitive to 和 be sensitive about区别如下：
1、二者词意不同
两者都有对 ... 敏感的意思，但是be sensitive about 可表示对于… 在意：
Teenagers are often very sensitive about their appearance.
青少年常常对自己的外表很在意。
be sensitive to 可表示易受伤害的, 易损坏的; 易受影响的
The cost is not sensitive to the batch size.
价格不因整批尺寸的变化而发生波动。
2、二者接的句子成分不同
be sensitive about 后面加动词时，要采用现在分词ing形式；
Marketers should not be too sensitive about speaking in public.
他认为，商人不应该对公开发表讲话过于敏感。
be sensitive to 后面只能接名词形式；
As an entrepreneur, you need to be sensitive to that fear.
作为创业者，你要对这样的潜在威胁有足够的敏感度。
3、二者用法不同
be sensitive about 后面可以衔接句子、动词、介词；
So, I want you to be very careful and very sensitive about how we push for answers.
那麽我想你非常小心和敏感於如果找出答案。
be sensitive to 后面不能衔接动词；
Retailers must be sensitive to the needs of their customers.
零售商必须注意顾客的需求。
参考资料来源：百度翻译-be sensitive about
参考资料来源：百度翻译-be sensitive to