Did you know her before you guys were set up? A month isn't very long so you might not know her well enough to really know how you feel or what she's truly like. Give it some time, maybe try and get to know her before trying again (if you still want to at that time).

You could try getting her back now, but if you get back together it's unlikely things will change unless you talk to her about why you broke up; ask her what was always making her so angry.

Girls dont often explain whats causing them to lose the interest in their guy. They will try to avoid the question or give lame reasons or get bitchy. Dont ask her! They themselves might not know whats bothering her.

And if you say something like "Its over". Then dont go back to her and make her realise that your words have no value. Stick to it or dont say that at all. Once you say such lines, wait for her to come to you and if she doesnt, take it up as its really over. If things are not working well, it better dont work at all. No point being in such a relationship where you're not happy. Look for other girls and forget her. Difficult, yes but if you cant work it out with her, you have to go for someone else instead of wasting time around her.

When you think you want her back, your thinking that you want the old her back, the one you like, but not the one that caused you to say "It's over". This is just the feeling that you're not over her. That happens after break ups, even for the one who does the breaking up.

I think you did what was best for you. You only knew her a month, and things went down hill fast. You may have had some good times, but a lot of people can get along with each other without being boyfriend and girlfriend material.

Things aren't like they used to be, so what used to be was probably her putting on an act and not being herself for you. Now she's tired of it and the real her you're seeing and not liking. Do what's best for you. If you don't want to be with who she is now, don't. What ever is best for what you want, do.