"That is absolutely, I think part of a storyline that needs to be corrected... I think it was a very thoughtful process," she said. "I'm not going to characterize anyone because it was a decision that was made, and the decision speaks for itself."
On a personal note, Clinton -- who said last week she would not accept a role in a possible second Obama administration -- told Sawyer that she would stay until the beginning of the next term, at least.
"I will stay until the beginning of the next term, because I know it takes a while for people to get appointed and confirmed," she said. "I mean, obviously, there needs to be a seamless transition with whomever President Obama decides to appoint after he is reelected, which I am confident he will be."