[33girl]

The plain fact of the matter is that nothing is for certain. She could have joined a chapter that has taken quota and made total for the past 50 years, and something internal could happen to tear the chapter apart, your daughter gets caught in the crossfire, and she self terminates. Life does not contain certainties (except of course death and taxes).

She really loved the girls she met. That's all you need to know. You can encourage her on her own to do things that will help her chapter's reputation and visibility: always look nice when wearing letters, be friendly and sociable to other members of ALL groups in the Greek system, get involved in extracurricular activities. But now is not the time for her (or you) to tell the chapter to do that. Sometimes the best leading is silently leading by example.