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Well... is the forecast actually that bad? IE: are local weatherman confident in a bad storm? Is it ending say Sunday night and you're flying out later Monday?
 
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I've heard that there is a N'oreaster with heavy rain in the forecast for Southern New England. Delta may be trying to clear the decks before travelers end up stranded at hubs and out-of-town.

Call the school and ask about the possibility of rescheduling due to weather ... some schools do set aside a day for applicants who had previously missed an interview due to weather. Then take it from there.