I think the fact that people disagree with me makes my point. If we as readers can't agree on this then the White Tower definitely isn't going to be happy. For the record, I'm not saying the writing is bad, or that Egwene is out of character, or anything like that, just that I hope she has more more work to do in unifying the White Tower. Because there are bound to be some Rebel Aes Sedai who feel betrayed. Perhaps not a large amount but a few, and there's bound to be some Reds who look down upon Silvania.
Weakness? In her? Every Aes Sedai in both the Tower and Rebel camps has had abundant evidence that Egwene is anything but weak. Her raising of Silviana to Keeper was explicitly stated as a gesture of reconciliation and unity, implying that she would not view the Reds as a separate and disgraced entity from the rest of the Tower despite their recent history. Egwene could have disbanded the Red Ajah entirely, just like Elaida did the Blue, and she probably would have gotten away with it. All the Reds know this. Relief and gratitude that she didn't and that they're not in disgrace any more is likely to overwhelm all other reactions.
What I meant by weakness is if you believe that the White Tower is more of a set of beliefs and principles, a way of life than just an actual building then the real "rebels" would be the Red. Egwene, in my mind, should have made the Reds apologize for going against the White Tower, not the Blues. Instead the first thing she did was raise Silviana to try to win support from the Red. Egwene came off as being very needy of the their support, which is what I viewed as weakness.
On the other side, Elaida was Red and favored the Red, so the Red were the most powerful Ajah in the physical Tower. Now all of a sudden they have a new Amyrlin raised without them using their own distorted laws. They are now disgraced and to a certain degree powerless. By that I mean there's hard feelings, which will limit ones influence.
That's a big change of events don't you think, going from the all powerful Ajah to the belittled and disgraced Ajah? Many Reds are bound not to like that turn of events. Now as a Red, what would I see? I see the Blue Ajah, which I helped disband, have to apologize to the new Amyrlin. As a Red, I might see that as a justification for disbanding the Blue. Then I see the new Amyrlin who appears so needy of my support that she practically trips over herself to raise a Red to get my support.
I'm not saying that Egwene is a weak leader, just that from a Red's perspective she could be seen as being weak. After all the Blue had to apologize while the Reds were raised to a high position. Of course some in the Red, I believe would view Silviana as betraying her sisters. You need a scape goat after all, and if its not Elaida then it would be Silviana. Elaida may have been a cause for pretty much everything, but she gave the Reds a lot of power and influence, so the Reds may not blame her completely.
I'm not saying anyones opinion is wrong. I'm not even trying to change anyones opinion. I'm just trying to clarify mine. Again I just hope that the White Tower isn't one big happy family because I won't believe it. I hope Egwene has a lot more work to do in the coming books.