What is next in my relationship?

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I often use to argue with her. She never came front of me to quarrel me. She use to tolerate me everytime. I was only the reason for such condition. I use to act wild and weired and rude with her. She didn't liked that but this doesn't mean that she didn't like me. She loves me a lot and I know she still loves me and will be loving me. But today something unusual happened, I crossed my limit. We have very conservative society here. A boy must not touch a girl, type of conservativeness. Either in hands, arms, cheeks or elsewhere... We use to touch each other often and hold her hand especially while crossing road. But today the touch was unusual. She suddenly made me angry, which was not her intention, she is innocent and always innocent. My anger crossed the limit and I ran towards her and held her hand with hard grip, she was trying to avoid it but my grip was harder. People around us were watching us. She asked me to leave her hands again and again then after some while I left her hands. And shouted at her, roared, and scolded her so much. Then I left her from that place. But she kept following me and called me from her cell but i rejected the call. Then I waited for her at the corner of the footpath. Then she came and asked me,'what happen to you?' I didn't replied. Then I again started to scold her. My anger crossed the limit again and I punched her in her arms hardly and pinched at the back of neck. She cried and then our relation's first two sided quarrel started. She also started to scold me because she was innocent here and was not doing any mistake. She kept scolding me whole the way to the college. But we both went to college together, but she was pretending that she was just neglecting me and avoiding me. But she acted with me as a stranger. Didn't talked with me a bit. I made her upset. I lowered her prestige in this society. Yes I did wrong. As soon as she got angry I calmed down and I asked for sorry but what is that sorry? I must not ask for forgiveness it is shamefull to ask sorry with her after doing all this mess. I am feeling so much guilty. She is now not responding me. I don't want any forgiveness from her. Condition may reach to there where she may leave me and end up this relationship right here. But I don't want to leave her. I need her. Anything left to do is to wait for her. I am sure that she'll oneday obviously return back to me. And i hope that day is just after few hours... I love her but i don't know how do i love her. I just feel like that I love her thats why I care her. What do you think? what will happen next in my relationship?