To Touch A Silent Fury by R A Sandpiper

She rides to claim her fate, he flies to burn it down.

As the only woman in the Moontouched Brotherhood, Tani studies on the haughty island of Eavenfold surrounded by men who see her as an ill omen at best. Her Fate Ceremony is only days away, offering five possible escapes from the storm-locked island, but each with their own consequences.
Lang, an insubordinate Crown Prince, holds the reins to one of the few true dragons left in the world. Sent to Eavenfold on a diplomatic mission by his warmongering father, he watches as the Brothers bestow a rare and unwanted Marriage Fate on Tani. Already her touch magic alarms him, but if she succeeds and marries the victor of the upcoming tournament, her power could topple empires.

They both arrive at the games. Her, to claim her Fate. Him, to destroy it by any means possible.