The problem, is it does happen.
The price of a Big School is still numbers and that is what the NPC is trying to control is numbers and equallity among chapters at schools.
It can and does happen sadly enough.
The problem seems to be, that the most imortant things is not getting into a certain GLO as a Legacy.
What should be important is the feelings of the person and how she feels with the GLOs that she has come in contact with.
She may feel closer to those that she is not supposed to be by the legacy of Family.
She may have been much happier joining another and would not feel bad if she as a daughter and legacy would feel about?
It does happen many times over and wiil keep happening.
It is her life. Just try to be happy for Her if she finds a GLO that she feels right with.