The appointing or electing authority who may appoint or elect the successor of an officer or employee may appoint or elect a person to act during the temporary absence, disability, disqualification, or suspension of such officer or employee, or in case of vacancy until a successor is appointed or elected and qualifies, unless the Council ordains that a particular superior or subordinate of such officer or employee shall act. The Council, by ordinance, may provide for a deputy to act in such cases.