It is required by some organizations that upon termination of membership (by the sorority itself or by "de-pinning") the woman must forfeit her badge. I've seen huge problems on my campus with girls depledging, never becoming fully initiated members and not returning shirts, letters, or any other items given to them, and they continue wearing them, representing the sorority. That's a really tough situation. I too don't understand why someone would want to keep those letters when SHE chose to disaffiliate. ?????