It shouldn't be automatic. If the woman shows genuine interest (and it is easy to distinguish from insincere interest to please her mother/grandmother/sister), and the house genuinely likes her, yes, then accept the legacy. But, my chapter had an experience where we had a legacy, where her grandmother wrote the chapter...she was really uninterested, and our advisor basically said to forget about her. So, there are some alumnae who know what's up!
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