A special room set aside for DUP leader Arlene Foster during the count at Omagh Leisure Centre caused some consternation on Thursday.
Two security guards were posted outside the conference room.
Mary Garrity, who chairs Fermanagh and Omagh District Council, said she was unaware of any such arrangement.
She said there was an expectation that all candidates in Fermanagh-South Tyrone - where Mrs Foster was standing - and West Tyrone would be treated equally.
She told the Irish News: "It is not appropriate, it is not necessary. We have MPs from other parties, former MLAs from other parties , dignitaries coming in and they aren't being given special treatment and no one should be."
Later, it was reported that the DUP were asked to leave the room.