Orpheus had tried to brush her off kindly, but she was clinging to him in a way he wasn't comfortable with. "You deserve someone who's heart is free. Mine I gave away a long time ago. No pretty songbird will ever replace her." He was a little cruel, hoping she would leave him be. "Find yourself a worthy musician, I play for no one else but Eurydice." It wasn't Eurydice's beauty that he loved, it was her heart.
He stood with a bow and proceeded to leave her in her own thoughts. Maybe she was not used to rejection, but Orpheus would never be disloyal.