I used to be very sensitive to criticism, but I had a gift from my father...he was so irrationally critical of me that I could see how stupid it was. I told him this and he would lose his top and beat me. But I wouldn't shut up.
Now I respond, I hope, with more grace. Listen and consider criticism and change if necessary or possible. Otherwise, gracefully decline. Well, I am not generally graceful about it. I'm more like: What did you say?! ! You want me to do WHAT? This is mostly said to the people who run the disability program who are trying to cut or deny services.
They can also get really creepy about making mistakes in my paperwork. So I keep a tally of the mistakes THEY have made and give that right back to them.
I now do the above with more grace. Regardless of who made the error, I say, "It is important to remember we all fallible human beings and need to work together to get the client what s/he needs." This actually works pretty well and I have been using it for the last, say, 10 years.
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The river is the melody
And sky is the refrain - Gordon Lightfoot