Granted this would be on a chapter by chapter based requirement - but chapters have a grade requirement to initiate, too. If her summer class grade was a C for some chapters that would be too low to be allowed to be initiated after pledging - which would be just as sad as getting cut after recruitment.
Some don't count summer sessions for keeping track of who is in good standing, but some do, and that is probably part of the problem as well.
Her best bet is to do the best she can this semester, and try again or hope for a possibility to COB.
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