What would be a suitable word for "The ability to accept rude things that are being told"? [duplicate]

I've been searching both my mind and several thesauruses attempting to find the adjective that best describes this type of person.

The term "thick-skinned" is the closest to what I am trying to convey, but that carries the connotation that he/she is callous and does not care about others.

Is there a word that describes someone who is not easily offended -- able to withstand criticism, ridicule, or jokes made at his/her expense -- without also implying that the person is emotionally callous?

good sport

someone who can accept a loss in a competition or can accept being the butt of a joke.

It is used as a noun. The definition is related to being able to take a joke but it also covers accepting criticism with grace.

As an adjective, I would say easygoing. This would describe the type of person.

relaxed in manner or attitude; inclined to be excessively tolerant

As a phrase, there is have a broad back:

not be easily hurt by criticism

It helps to have a broad back in showbusiness.

But this goes back to thick-skinned:

not easily hurt by criticism, insult, etc.

As you said, thick-skinned has two meanings. One of the meaning is what you ask but the other one is what you want to avoid. It would depend on the context then.

Unflappable can be used to describe this kind of attitude:

not easily perturbed or excited or upset; marked by extreme calm and composure; "hitherto imperturbable, he now showed signs of alarm"; "an imperturbable self-possession"; "unflappable in a crisis"