C.R.S. § 1-12-109

If an officer whose recall is sought offers a resignation, it shall be accepted and the vacancy caused by the resignation shall be filled as provided by law. The person appointed to fill the vacancy caused by the resignation shall hold the office only until the person elected at the recall election is qualified; except that, if the recall election is canceled in accordance with section 1-12-110 (1), the person appointed to fill the vacancy shall hold the office until it is filled at the next regularly scheduled election for that office.