I had with my gf after I broke up with her and we didn't talk about it, I don't know where this leads us?

I am 29 and my gf is 42. She is been into many relationships before and this is my first one. I was unhappy in the relationship and I wanted to breakup with her for last few months. Yesterday I gathered all the courage and dropped the lines. I told her that I love her a lot and like her a lot but I can't be with her. We both cried. I cried more that her. She was very pissy in the beginning but then sat down and talked after I begged her to sit down. She said it is a big mistake that I am doing and she wants to be with me. I am sure that I don't want to be with her and I told her. After all this drama we went out for dinner and then she suggested to go hotel to spend the night. And guess what happened we had the same we used to do. She said she never felt this way before for anyone and didn't love anyone before. I am so emotionally confused. In the morning I am so confused what she is thinking and what should I do. I have a friend's place to live so I can move out. I want to move out with her blessings and I don't if this is the right approach. I want to be her best friend. Is it possible?