After the fifth day following the date of posting or publication, the governing body of the city may make the appointment or direct an election to be held in the affected territory. The person appointed, if any, shall qualify and take office and serve exactly as if elected at a municipal election for the office.
Notwithstanding Section 10403, if, by the 75th day before the municipal election, no person has been appointed to office pursuant to paragraph (1) or (2), the election shall be held.
If an appointment to office is made in a particular legislative district pursuant to subdivision (a), that appointment shall not affect the conduct of the municipal election in other legislative districts of the city.
Ca. Elec. Code § 10229