Clinton pushed back against reports that she persuaded the president to authorize U.S. involvement in the attacks, and that she was the voice that turned around the opponents.
"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."