Is it time to give up? Need advice?

So my ex and I have been separated for over a year and a half. We have to kids together and we spend a lot of time together. We speak on the phone almost everyday. For the 4th of July we spend the weekend away with the girls. Well today I tried to hold her hand and she wouldn't allow me. I asked her why is she being so difficult with me. She responded that I made her that way. I then asked her if she was going to be that difficult with me forever and she responded that hopefully not forever but she was not gonna change anytime soon. I don't know what to do. I cheated on her and that's why we're seperated. What should I do? Should I walk away and take my loss? Should I continue to be there for her and give her whatever time she needs? Also why would she spend time with me? We are even going to a wedding this weekend. Need help.
Is it time to give up? Need advice?
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