Pretty much everything she said or thought had the undercurrent of, "Hmph! Who does Rand al'Thor think he is, giving orders. What, he thinks he's BETTER than me or something!?"
My favorite example of this is when Rand Portal Stones everyone to Rhuidean, and Amys is there to meet them. Egwene goes up to her expecting to be welcomed like the dreamwalker prodigy she is, only to be told, essentially, "be quiet, I have more important people to talk to, first."