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Despite all of the above, I would miss her if she deactivated.
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Maybe just focus on your statement above.
"I am so lucky that you are my little. I would miss you terribly if you deactivated."
That is at least one instant gratification message for her, and proof of the friendship she is seeking. Then, just simply focus on being her friend and having fun together and not so much the older sister relationship. Do non-sorority related activities together. If it is genuine then it won't come across as condescending.