He had his duty to Andor, and she hers to the Tower. And the one way to bridge that chasm, bonding him, might lead to his death.
How is that a bridge? To give his consent to be bonded, he'd have to become forsworn to his duties as Elayne's First Sword of Andor, or whatever it's called. Forswearing one oath for another is not a "bridge." 😑
