Well, I'm not the green book expert, but here's my take on it....
If it was formal recruitment, by her placing that sorority on her preference card that she signed after prefs, she is stating that she will accept a bid from that sorority. Therefore she is bound to that group for one calendar year. I believe that also means that bid is good for one calendar year, and cannot be taken back (unless there are some major reasons such as grades, univ. standing, or other big stuff). Therefore, she can come back a couple days after recruitment and join. The bid itself is still valid. (On the same token, she cannot pledge another group for one calendar year).
NOW, the question is....by giving it back to the pi chi, does that mean she turned down the bid? And if she did, what is the time limit for her to change her mind? Those are the questions that I don't have the answer to, nor could I find an exact answer for them in the Green Book. Although she may be repledged by the same group for one calendar year after her pledge is broken, that sorority may have a national rule considering repledging (% vote required, etc).
I don't know if I helped or not. My suggestion would be to contact the NPC Area Adviser to see if she knows.
(As far as the chapter no longer "wanting" her....my opinion is that they should give her a second chance, unless she did something very disparaging to the group. We all know crap happens in recruitment, things are said, gossip flies, and it's a hard decision to make in a few days for some. After the initial disappointment over not getting her first choice fades (and the bright shiny rose colored recruitment glasses come off), she might see that she actually WANTS to join this group. That's just my opinion, though.)
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