The Roots of Anger - Daryl Dixon
Some of this I definitely agree with. I also think that, in a nutshell, Daryl is an incredibly damaged person. When someone offers a caring sentiment, he reacts with anger because he has been conditioned to believe that he is worthless and that anyone who says otherwise is wrong. Carol basically slaps Daryl in the face when she implies that he is worth more than the small sliver of hope that Sophia is still alive, and that that hope - that small chance - is not worth his life. And so he reacts with anger. This, coupled with what the author of this article states, is his MO for dealing with people, feelings, and emotion.
Basically it will be a slow process trying to get him to open up and accept that he is worth a damn, and I hope that Carol keeps trying to make him realize it.