This.
I have my own issues with Egwene, but this is the major one. What makes it even worse is that she always ends up on top in the end, despite the flaws in her thinking or what goes wrong, thus affirming her "I'm right" mindset. Basically, I feel as though she has not learned how to fail, and that's a lesson that every character has learned. Rand has definitely learned it. Nynaeve has definitely learned it. Perrin, Moiraine, Siuan, Mat, Thom, Lan, Aviendha, many of the Forsaken, even Elayne - all have had that experience with failure throughout the series, or before it, and it has made them a more complete character.
Egwene hasn't had that. She hasn't had anything she's done go disastrously wrong - and before anyone mentions her getting kidnapped by the Tower, she turned that to her advantage. I'm talking about abject failure, where there is nothing you can do but move on and try to make things better, not turning a disadvantage to your favor. And because she has not experienced this, I feel she is an incomplete character.
I first started noticing it in book 5, I think, when she got pissy at Nynaeve and Elayne for what they were doing in Tel'aran'rhiod, when she was doing the exact same stuff and taking the exact same risks, and getting chewed out by the Wise Ones. Somehow it's okay for her, but not for other people?
I guess what I'm saying, is that I really want to see Egwene fail at something, and fail hard. I like the character, and because I like her, I want this failure. She's come close, but it hasn't happened yet.