a thick/thin skin

thick skin

The ability to ignore verbal attacks or criticism from others. If you're going to pursue a career in politics, you're going to have to develop a thick skin and not let the criticism of your detractors bother you.
See also: skin, thick
Farlex Dictionary of Idioms.

thick skin

Insensitivity to criticism or insult, as in You can tell him exactly what you think of his new piece; unlike most composers he has a thick skin . This term transfers an impervious outer coating to mental or emotional toughness. [Mid-1500s]
See also: skin, thick
The American Heritage® Dictionary of Idioms by Christine Ammer.

a thick skin

COMMON If someone has a thick skin, they are not easily upset or offended by criticism. To survive in politics, you need a thick skin. As a salesperson, you have to have a thick skin to deal with all the rejection. Note: You can also describe someone as being thick-skinned. She's so thick-skinned, she won't even have noticed the insult.
See also: skin, thick

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!
See also: skin, thin
Collins COBUILD Idioms Dictionary, 3rd ed.

(have) a thick/thin ˈskin

(informal) (be) not affected/affected by criticism or unkind remarks: A traffic warden needs a thick skin to take so much abuse from motorists. He’s got rather a thin skin for a politician. He’ll have to learn to take the odd unkind remark. ▶ ˌthick-ˈskinned, ˌthin-ˈskinned adj.
See also: skin, thick, thin
Farlex Partner Idioms Dictionary
See also:
  • a thick skin
  • (Are you) going my way?
  • goin
  • going my way?
  • go in and out
  • far from it
  • Everything’s going to be okay
  • everything's going to be OK
  • have a bumpy ride
  • got