Damian shouldn't have yelled at you. Damian shouldn't have said you weren't worthy of the Al Gul blood in your vains. He regrets it and the tears flowing out his eyes are proof of that but if you don't pull through you'll never know how sorry he is. You'll never know how right you where that Damian Wayne and Damian Al Gul aren't the same.
Damian Al Gul had no idea of your existence. He was a hardened assassin trained by the best to be the best. That's who Damian Al Gul is. That's who you see him as and you have every right to see him that way. He'd probably would have said something worse to you if he hadn't know that you didn't see him that way. He probably would of hated himself more too. . Damian Wayne on the other hand? He knows you. He knows that you two share the same blood, the same eyes, the same face, the thing you don't share is the way in which you where raised. Damian Wayne knows how kind you are, he knows you see light in everything, he knows you are someone exceptional. If only he knew to show you that before now. . If only he hadn't let you leave after that fight all because he of what he said and did. You are his twin after all and no matter how much you look alike physically mentally and personality wise you are the opposites. You wouldn't lift a finger to kill only to protect unlike him and that's what got you here. In the hospital hurt and with lesser probably of ever waking up than Damian apologizing to you.
Then again he is the one who has not left your side, who's been crying non stop, the one who's secretly begging, praying, that you'll get up because you are too strong to not wake up. He hates himself for not being able to protect you. Damian Al Gul wouldn't let this bother him. Right now though? Right now he is Damian Wayne, your twin the one who should have protected you. . "Please, get up. We both know you are more than strong enough to wake up. Do you want me to admit that you're right? I'll do it just get up, please." Damian was resorting to begging, he felt pathetic.