This woman is a member of sorority B and should be proud of that!
It seems as though she tried, throughout her college years and her early alum years, to become an initiated sister of sorority A, and this fell through, through no fault of her own (well, you could argue that not making grades was her fault, but you see my point). When she was told in no uncertain terms that this was not going to happen, she regrouped, checked out other sororities, found one where she felt she belonged, and became an alum initiate. That took guts.
As for friends and sisters of sorority A who think she's still either pursuing AI or was accepted for AI into sorority A instead of B - all she needs to do is explain the situation. "I love A, I wish I could have been initiated as either a collegian or an alum, but so many obstacles stood in my way, and although I tried and tried, eventually I was told that I could never be initiated into A because of national policy. So I decided to become greek by following a different path. I'm proud to be a B, but there will always be a special place in my heart for A." Something like that.
I hope that made sense