The short of it: Denna is the character best positioned to betray Kvothe because of her unique skill set and life experience. So says Kvothe when he gives an abbreviated account of his life to Chronicler.

Is Kote a Kvothe?

In the frame story, Kvothe goes by the name Kote. He lives in the town of Newarre, hiding his true identity by living as the innkeeper of the Waystone Inn with his companion, Bast.

Who saved Kvothe in Tarbean?

It is after this episode that Kvothe nearly dies in the snowy streets of Tarbean but is awoken, and subsequently saved by a man dressed as the demon, Encanis, setting a forboding tone over the scene.