Little E is right on the button

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and Fab is right too...a rec is just a notice from an alum to let the chapter know that a girl either has some sort of tie to the sorority, or that an alum has evaluated her or her resume and found her to be sorority material. It doesn't have any bearing on whether the active chapter will offer her a bid.
You may need a rec to get a bid at some schools & chapters, but it NEVER guarantees a bid anywhere.