Girlfriend Wants To Be Alone - I don't!

So my girlfriend and I have been apart for about a month. She says she wants to be alone for now and for a while. I'm still upset she wouldn't give me a second chance - the reason we broke up wasn't a huge fight or anything. I was too being demanding of her time which after she broke up with me I realized and I told her everything I realized I was doing wrong. I also apologized and I really do see things totally different now. I would never handle things like I did again.

The problem is she won't even entertain giving me a second chance to prove it. I want to respect her request to just be alone so she doesn't feel tied down, but I also really want her back because I love her and to prove to her I have and can change. She means the world to me and this kills me.

How do I go about getting her back?
Updates
+1 y
The month we've broken up we haven't talked a lot. I tried earlier on to get to reconsider which was probably too soon and I hadn't realized what I had done wrong yet. Then I talked to her and told her all the things I realized I did wrong.
Updates
+1 y
Other than that we haven't talked a lot. She has texted me a couple times and other than that I haven't contacted her - trying to give her space.
Girlfriend Wants To Be Alone - I don't!
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