Unless stated otherwise, all information herein is taken from A Memory of Light, Prologue.
Kymer is a Wise One of the Tomanelle Aiel and Han's niece. She is one of the Wise Ones present when Aviendha tells of her visions of the future she gained in the glass columns in Rhuidean. While they are talking of what Rand plans, she says that the Aiel are strong and can pay whatever he will be demanding of everyone else.
"Why would he give boons to everyone else, but not to those who are most deserving? Does he seek to insult us?" (About Rand)