Deekins was a councilman. In the episode where Brian takes the tape to him, to use against Stockwell, he refers to him as "councilman."

From Wikipedia:

Carl and Debbie's relationship becomes strained during the third season, when Carl feels he has to back Chief Stockwell in the mayoral election or risk reprisal from the police force, while Debbie strongly supports the implied Democrat, Councilman Deekins.

http://en.wikipedia.org/wiki/List_of_Queer_as_Folk_characters