He's known that for a while - he sent Merise & Narishma to Tar Valon to bring his offer to Egwene. Just because he's heading toward Tar Valon doesn't mean he knows how the whole rebellion thing shook out (maybe he saw from the mountain that the siege was broken up, and is assuming she won).

How, exactly has she changed? Egwene in tGS was more of the same no matter what you think of her. Depending on your perspective, she is carrying on her well-established habits of self-glorification, Aes Sedai adulation, blame redistributing and hypocritical or unjustified criticism; or else she maintained her great and glorious course of awesome skill and dilligence and maturity and superiority. Or you have been lying all along, and now admit that her great (stipulated for the sake of argument) deeds of tGS were a departure from her normal course of vicious petty bitchiness. In which case, I win, courtesy of Point 7 of my Aegwenist Guide to tGS (http://www.readandfindout.com/wheeloftime/messageboard/37187/ ).

Make up your mind dude - one way or another YOU ARE WRONG. I have caught you now stating three distinct and contradictory positions.
1. Egewne was mostly (or even always) awesome and/or right
2. Egwene was awesom and/or right in tGS
3. Egwene has changed.
Either you are wrong about the last or wrong about one of the prior two points. She cannot have changed significantly and still been awesome in her opposition to the other protagonists, all the way through. Either she was lousy and changed for the better, or she was great and changed for the worse, or she did not change.

"Stand before the Amyrlin Seat and know her anger" Fortelling. I would agree with you on the preference, and wish we COULD take the notion that Egwene has converted from Tower Loyalist to Reasonable Human at face value, but Elaida's Foretelling argues otherwise. Note that it does not say the Amyrlin in question will be right, or that it will matter to Rand or have an effect on what he does, but she's going to let him have it.

Or he's gonna say that now that she doesn't have the rebellion as an excuse, it's time to fall in and be part of the solution, rather than part of the problem. The way genuinely great leaders who have done more for the world than simply wrangle themselves a promotion way before their time have had to. Given all her prior insistance that Aes Sedai following or being subordinate to the Dragon Reborn is "ridiculous" or unthinkable, I can imagine some characteristic anger at this position. Or maybe you're right and she HAS changed from the litte bitch who said that back in LoC. But since one of her last PoVs included her hearing that men cannot be trusted and her reaction was "true enough," I'll have to take a wait-and-see position.

Also true. It would be completely in character for her to blame the messenger and hold it against him that he has not been absolutely successful in fighting off the Seanchan, despite that not really being his job and despite him being much more successful in his efforts than her over-hyped performance in the midst of the Tower's losing a battle to them.

If every single sister who went to the Black Tower from KoD on is dead, Rand STILL has greater reasons to take offense at the White Tower than Egwene has at the Black. Not to mention Rand has helped Egwene far more than she has helped him. The last thing Egwene ever offered him out of genuine helpfulness undiluted by personal interests, was in BOOK 2! I read that almost twenty years ago! If Faile lived in the real world, she would not have been born when I first read the last words describing Egwene being nice to Rand!

It would make a nice coming about full circle, since she was the first PoV to really show Rand as the Dragon-Reborn-guy we got to meet in tGS.