Just wanted to see if anybody else thought this way, or if I'm simply stating the obvious, but... (excuse my lack of references, I only have summaries to go by from my own mental recollection) I believe that Moiraine is the sole key to winning Tarmon Gaidon and saving the world. I think RJ has set it up that way from the beginning with Moiraine being "given" the task of finding the Dragon Reborn in New Spring. For example, somewhere along the series Rand sees all his possible lives and if I recall correctly none of them show him actually succeeding to fight Shai'tan at Tarmon Gaidon. They show Tarmon Gaidon coming but with Rand as never living up to assuming the role as the Dragon. The fact that Moiraine and Lan found him in the Two Rivers helped set along the course of Rand realizing he is the Dragon Reborn and ultimately being there at Tarmon Gaidon. The other example concerns Mat in a way. Mat had to give up half the light of the world to save the world. To me, this sounds fairly obvious, but given that RJ comes from a physics background and that light is only visible with the ablitity to see (i.e. we can't smell, feel, or hear light), I came to the conclusion that Mat losing an eye is akin to half the light of the world and since Moiraince was designed by RJ to be the sole key in saving the world, Mat lost an eye to save Moiraine and thus save the world. As to how Moiraine will save the world, I do not know but can only hypothesize again. Perhaps she becomes the third woman that Rand completely trusts (other two being Nynaeve and Alivia) and they three complete a circle with Rand with Callandor. I think that those three are now the most powerful female channelers at present since Moiraine has in her possession the super powerful angreal that came from the land of the Eelfinn and Aelfinn. Perhaps that explains how Alivia will help Rand die. It is prophesized that Rand must die to save the world. With Alivia and Moiraine in a circle with Rand, with Rand dying the save the world, with Alivia helping Rand die, and with Moiraine saving the world somehow, I see a big connection. Or maybe since Rand now has the ability to "see out" Darkfriends, he forms the greatest possible circle with 35 Asha'man and 37 of his Aes Sedai (i.e. not Egwene's since Egwene is against Rand's plan of breaking the seals) that he knows are not Darkfriends in hiding. Also as a quick sidenote, I know that it was phophesized that the royal blood of Andor will be the key to winning Tarmon Gaidon, but I have already came to the conclusion that this is already proven since Rand has Andor's royal blood in his veins anyways by being Tigraine's son.