(a) thin skin
A personality or disposition that is easily offended or upset by something that is said. Watch what you say around Uncle Ed—he has such thin skin and gets angry at the slightest provocation. You can't have a thin skin if you want to be an actress—harsh reviews are all too common.
a thin skin
COMMON If someone has a thin skin, they are very easily upset or offended by criticism. He'll never make it in journalism with such a thin skin. Note: You can also describe someone as being thin-skinned. She didn't mean it as an insult — you're too thin-skinned!