I do not normally have a thick skin. Indeed, I'm relatively think skinned, especially when it comes to my writing. Oh, I try to accept people's criticism but really whenever people tell me what parts of my writing they didn't like I hear, "you suck." I don't think I'm terribly alone in that reaction. Sometimes criticisms have put me off of writing for a time, until I remember that I want to tell stories and go back to it.
I've joined a writing group filled with writers who are probably at the cusp of being published. Actually, several have published pieces, though all of them are still working on craft and still struggling to publish a novel. All of them write things that I love and can see are a draft or two away from being ready to face the world.
The funny thing it, I have a thicker skin with them. I don't know if it's that I've matured, or if it's that they're all very good at giving constructive, positive criticism (which they are), or if the fact that I admire all of them at writers makes it easier to take what they say well, but there it is. Criticism from them makes me want to write more--to fix what I've done poorly and do it better the next time, if for no other reason than I want these people, who I like and admire, to like and admire my writing, too.