And yet you are the one that is rewriting it by blaming Hillary. Yes Hillary convinced Obama, but that was irrelevant to whether the West was going to intervene in Libya. The French were already on the ground, they had already started pushing to have a coalition and an resolution in the UN to allow them to start Airstrikes. Nicolas Sarkozy and David Cameron had things in motion in February, mostly via the French President but Cameron was publicly pushing from the end of February onward.
On the 1st of March the US senate voted to support a UN sanctioned no-fly zone, but the US still wasn't committed to providing aircraft for it.
On the 2nd the Canadian Government committed to joining any UK/French coalition to enforce the No-Fly zone.
On the 11th the UK publicly and come out that they would be involved and operating in Libya to enforce the no-fly zone as soon as the UN agreed to it.
On the 14th Obama sent Clinton to Paris to meet with the leader of the Libyan Rebels and Sarkozy. Both Sarkozy and then later Cameron pushed her to agree to support intervention pointing out that they had Arab leaders in agreement as well. In fact your only link states this in that she relayed to Obama and the cabinet what she had been told and that she was "surprise[d] that Arab leaders not only supported military action but, in some cases, were willing to participate. Mostly, though, she warned that the French and British would go ahead with airstrikes on their own, potentially requiring the United States to step in later if things went badly."
Sarkozy and Cameron also warned her that if the US failed to help, then it would potentially be damaging to NATO.
It was not until Clinton returned after this meeting on the 15th that the US Cabinet met and voted to be involved in the intervention.
Also from your own link....
Dennis B. Ross, then a senior Middle East expert at the National Security Council, said he remembered listening to her and thinking, “If she’s advocating, she’s advocating in what I would describe as a fairly clever way.”
He recalled her saying: “‘You don’t see what the mood is here, and how this has a kind of momentum of its own. And we will be left behind, and we’ll be less capable of shaping this.’”
Yes, so very "vocal" that even those in the room questioned if she was actually advocating for intervention.
On the 17th the UN passed the resolution to act.
Clinton was only instrumental in convincing the US Cabinet that they needed to support their allies in actions that were going to happen anyway, because if they didn't:
a) They'd likely have to get involved if things went wrong
b) It would give them a chance to actually determine what was done
and c) Because not doing so could harm their NATO alliances
Had the US not been involved, Libya still would have been attacked by the European, Canadian, and Arab Coalition forces. The US might have been drawn into it later than they were, but the end result would have been the same.
Your focusing entirely on the US's part and Clinton's minor actions in the entire things totally misses what really happened and who were really responsible for it all.