In the event of disqualification of the judge in a particular case, or his absence or inability to act, the mayor of the municipality may appoint some person, qualified as provided in Section 27-104 of this title, as acting municipal judge of the court in the place of the judge during his absence or inability to act or in a case wherein the judge is disqualified; or, in its discretion, the municipal governing body may provide by ordinance for the appointment of an alternate judge of the court, in the same manner and for the same term as the judge and possessing the qualifications prescribed by Section 27-104 of this title, who shall sit as acting judge of the court in case of the absence, inability or disqualification of the judge. If both the judge and the alternate judge are unable to sit, the mayor may appoint an acting judge as provided in this section. The municipal governing body, by ordinance, shall provide for the compensation of an acting judge of the court.