Not only does he love her, he wants to take care of her, he wants to be in her presence and he wants to make her happy. Desire is not synonymous with love, but one can simply desire to be in love. When David says "I don't care how much time we have, I want to enjoy it to the fullest with you" This action shows the desire he has to be with her even if it's just for a few more days, showing his affection for her. David describes that “her enchanting eyes ignited his desire to belong exclusively to her".