I don't expect things to be rosy on the Egwene-Rand front. But I think ToM is going to end with them finally understanding each other and forming an alliance.

While Egwene may be angry at Rand for his handling of Taim, I do think she'll be more sympathetic to how he mishandled his leadership. She's been through similar strains, and pulled through because she had people whose help she could trust (unlike Rand). Once issues like the BT are out of the way, I'm expecting a swift alliance, despite the Shadow's efforts (more will come on this front) to keep them enemies.