Whoa...couple different issues.
First, I don't know where in the Command Authority the "stop" order came. But there was a "stop" order. It wasn't a "lack of a 'go' order". EUCOM and AFRICOM have procedures in place for stuff like that that doesn't need national command authority for. If you say Hillary didn't know anything was going on until it was over, I'm probably ok with that. Dubious, but I'll give benefit of the doubt. I wasn't with her.
My beefs with Hillary about Benghazi are that I feel she was a big player in the cover-up/obfuscation/disinformation effort. They knew what it was, and they didn't want to have "American boots on the ground in Libya", even when things went bad. She backed the administration (probably in her personal best interest), even though friends of hers were killed. She went along with the absurd lies coming out from "senior" officials, including Susan Rice, and didn't say "Actually, that's not true. It was a strategic decision made by the President/whoever to not escalate the war in North Africa, and if that means that we had some guys killed, that sucks" rather than "stupid YouTube videos killed our brave State Dept personnel!" Then we she was caught in some of the lies, she kept with them, even going so far as to give the brilliant "why does it even matter?" response. I'll tell you why it does to me (and you probably understand this, if you were Army in wartime):
One of the basic fundamental principles by which our all-volunteer military fights is the concept that we don't leave people behind. We have teams in place just in case an airplane gets shot down, or a helo crashes, or a boat sinks. We do other stuff to know where our people are when they're in trouble, so that we can go get them. In the Code of Conduct we memorize that we "will keep faith with our fellow prisoners" if taken POW knowing that our government is going to come for us somehow. That's what helps guys go do really hard stuff behind lines full of, if not "bad guys", "not good guys". And the National Command Authority either didn't have the information (dubious) or deliberately sacrificed those people on the ground. Because assets for extraction were available. And quickly.