Whether the Three Oaths would have stopped this or not, though, within the combat situation they were in, Egwene did not violate any basic laws of combat by killing the sul'dam.
Basic combat situations don't count with the One Power. Guns can't tie people up just as fast as Setting Them On Fire. The excuses why real soldiers are allowed to gun down unarmed people don't apply. Egwene almost certainly knew they were not concealing anything on their persons. She knew they had no bombs or anything like that, since such things don't exist. She could easily take them prisoner with no danger to herself or her followers. In fact, as we see from Rand's experience against the Seanchan, freeing the damane was far more dangerous. It was simply luck of the draw that Egwene didn't end up loosing a couple women who had really drunk the Seanchan Kool-Aid and started flailing about with the Power in a panic, hoping to be made complete again. Note as well, that I left it out of the EE post, because I chose to credit Egwene's sense of mercy and empathy with the damane (and possibly her author's imbecility). In that moment, she herself demonstrated that the exigencies of immediate danger did not apply, and she still chose to set them on fire.
Again, rules made up in a complete different world, where the One Power does not exist, and thus does not need to be accounted for. I find it amazing that you are willing to bring up hairsplitting justifications of military law to justify Egwene's cruel murders. I can't recall anyone giving the Children of the Light similar benefit of the doubt regarding their alleged shoot-first policies regarding channelers. THEY really DON'T have any options when facing off against channelers. They couldn't wrap someone in flows of Air (the way Egwene planned to do to a friend on a battlefield where she knew one of the Forsaken was running around), and they don't have sufficient knowledge of the Power to know that an incomplete sul'dam is totally helpless in regards to channeling, before setting her on fire! There is simply no justification, especially from someone who has spent so much time sanctimoniously preaching to her best friends and closest supporters about the Three Oaths, despite a far more egregious history of violating them than they. We can debate the meaning of Sandersons' description of her thought process when she died until the cows come home, but as far as concrete actions go, there is simply no debate when it comes to Egwene and violence or combat.
“Tolerance is the virtue of the man without convictions.” GK Chesteron
Inde muagdhe Aes Sedai misain ye!
Deus Vult!
*MySmiley*