My ex left me, said she can't trust me anymore. I want her back!

I have just split up with my ex-girlfriend of 6 months 4 weeks ago. Basically she is very insecure and has big trust issues due to her last 2-3 boyfriends cheating on her. I went out one night, got hammered and she saw me "all over" another woman on the dance floor. Just dancing but apparently my hands were all over her! This is not like me and I would never do anything to hurt her. She saw and ended it there and then. The next day I rang and apologized non stop, sent her flowers etc. After the convo she text me loads and my mum and said she didn't no if she could take me back. I cried and begged for her and in the end she just sent me an e-mail saying she could never trust me again and that she is moving on. She told everyone I was the love of her life and even talked marriage. We both work together too and mutual friends say she thinks I am a great guy still but she can't take me back. So I have left it for a week. Hurts like hell because I do love her and miss her! Rumors are now going around the workplace saying she is seeing some other guy there but she denies this. Taking this for face value as she is no liar. Is there anyway back? Even if its not soon?
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Anyone!?
My ex left me, said she can't trust me anymore. I want her back!
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