I don't think that is really certain at this point. It's not certain anyone told them to stand down and if so who. They were in-country so they required no POTUS CBA in order to act. The same is true of the 8 man team that came from Tripoli too. Only Woods was at the annex, FWIW, at the time the consulate was under attack so only Woods and the guys he took defied orders not to if such orders were given. Doherty came with the team from Tripoli.
Thanks for clearing that up.