The chef and Village resident wrote online that she opposes NYU's planned expansion.
Broderick joined more than 100 opponents of NYU's expansion who argue that the city acted illegally.
Eleven community groups say the city illegally approved NYU's 20-year growth plan.
Lawyers for New York Skyline and the city sparred in court on Monday.
The West 25th Street shelter has delayed plans to start accepting residents on Friday.
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