(a) In an election for which this code does not provide for an early voting clerk, the authority ordering the election shall appoint the early voting clerk.
(b) To be eligible for appointment as early voting clerk under this section, a person must meet the requirements for eligibility for service as a presiding election judge, except that:
(1) an appointee must be a qualified voter of the territory covered by the election and is not required to be a qualified voter of any other particular territory; and
(2) an appointee who is a permanent employee of the authority ordering the election and a qualified voter of any territory is not required to be a qualified voter of the territory covered by the election.