I am re-reading the Dragon Reborn and Mat shivers (much like Rand did in foreshadowing all through EoTW) whenever the Aes Sedai channel strongly near him. That doesn't seem to happen anymore after he gets the medallion but what did it mean in the first place? Did RJ say somewhere for sure that Mat cannot learn to channel?

Min is the reason that Rand lost his hand in the first place. In KoD, she drove me nuts! If she wasn't so pushy about always being everywhere she didn't belong with people who had power way above her head she would not have been in a position where he needed to protect her. I mean woman! Get a life- Every one else there can defend themselves. You can't really believe that you and your two-bit knives are really going to help with any enemy the Dragon Reborn may have!  Nobody gave Rand credit (they never really do in any of the books anyway) for not once blaming her for that (nor did she even once show the slightest remorse). If it were me, I would have been pissed off if I told you to stay home, you insisted you come, I had to protect you and ended up losing my hand.  Just another of the innumerable examples of unbelievable ingratitude of just about everybody in that book towards Rand in particular but towards Mat too to a lesser extent. 

I thought her a horrible creature. She may have been a good leader but how she behaved towards Perrin was unforgivable and just positively disgusting.  It is degrading to portray a woman using sex to gain power. It may happen but there is no honor in it at all. To describe how much I disliked her- she made me feel sympathy fir Faile