Any vacancy that shall occur in any town office shall be filled by appointment by the Council, provided that 1 person may hold more than 1 office and that at the discretion of the Council, the functions of a town official may be validly performed and discharged by a deputy or another town official, or an otherwise qualified individual not holding office but employed at the pleasure of the Council.
(A.R.S. § 9-239) (1986 Code, § 3-1-5)