what would happen to xion if axel didn't bring her back to the organization at the end?

Same thing that happened anyways.

How would we know? It didn't happen. I guess she would have gone to Riku and she would have returned to Sora ANYWAY.

We wouldn't have had to battle Xion. And Roxas would have killed himself trying to free kingdom hearts.

I don't get that. Why does Xion say to Roxas to keep Kingdom Hearts away from Mansex, and then we just get to run around in the rain with two keyblades, beat the snot out of Riku, then get keeled over and stared at pedo-ly by DiZ? No other mention?

Xion asked roxas to free kingdon hearts. (so he went to nobody world ) he tries but riku pwns him and boom he ends in Twilight town

I think even if Axel did not return her back to the Organization, that everything would eventually lead to Sora. She would probably keep running away and could not take it anymore then she was dealing with. Sure, the events may have been different but the result of returning back to Sora or where it felt "right" for her and making everything balanced again would have been the same.

They have rules, one of them is "Eliminate all traitors", Xion left and if she didn't came back or Axel brought her back, then she will just a target for the rest of the organization.

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