Board denies appeal, short-term rental in Lafayette can continue to operate Four hours of discussions led the board to deny the appeal. and last updated 2021-04-09 00:18:45-04 A home in Lafayette can continue to operate as a short-term rental after the Board for Zoning Adjustments denied an appeal made by neighbors. Neighbors of the home on Poinsetta Street were hoping to overturn a 2020 decision by Mary Sliman, Director of Development and Planning. The board had three options â to approve the appeal, deny the appeal, or defer the topic. There was a 50/50 split between people who want this short-term rental to stop and people that operate Airbnbs and support it.