I would think that everything would depend on the spin the two-time pnm puts on things: "I remember you from last year! I'm so glad that I can really devote enough time to sorority this time!" or something similar.
I would imagine that it would be much harder if:
a) she had been completely cut the year before or
b) she had pledged another sorority, depledged, and is trying again.
Best of luck to BlazerCheer!!