If the zoning board upholds the law, she intends to continue her fight in the courts, and the civil liberties union will represent her.
Mr. Rennert's lawyers argued that the board must uphold the building permits.
The board last met in June and upheld the decision to withdraw the show, which had been seen in other cities without incident.
The board also upheld a requirement that students take 22 credits.
Of the four cases so far appealed, the board has dismissed three and upheld one.
Last week the board upheld the latter order.
The board may uphold or modify the administrator's decision.
The board will re-hear the case, with a different set of panel members, and may uphold or change the Tribunal's original decision.
The board upheld its promise not to increase property taxes by cutting $41.7 million from the original bond proposal, which totaled more than $460 million.
It seemed virtually certain that the board would uphold the designations for the exteriors.