narc says he "doesn't care that i get physically hurt because I embarrassed him in public.

we were out in public, and I was trying to talk to him about an issue in a low voice. He got extremely angry because he felt that discussing private matters in public even quietly was "humiliating him and hurting his "public respect. when I was trying to explain to him this and feel heard he tried to leave..., I tried holding onto the door handle to try and finish the conversation. He jerked the hand away and started closing the door while my hand was still caught/holding on the door handle which ended up my arm getting twisted, it didn't get hurt badly tho...as I removed it after the twist. When I confronted him later about it: He repeatedly said I don't care that u got hurt and that he isn't sorry because it was all my doing. he claims his aggressive behavior is "valid because I didn't listen when he told me to stop talking....he keeps threatening to end the relationship, saying that if it happens one more time hes out of this....he told me he won’t feel the situation is "sorted until he does the same thing to me in public to "teach me a lesson about respect. He eventually gave a brief apology for being angry, but then immediately went back to saying his respect matters more than my physical safety. He says since I "started the fire," he isn't responsible for how he reacts. I agree I might've been wrong but I need advice on the reaction, was it me who triggered this?