(e) The term of office of an appointed director begins on the day the appointee accepts the appointment unless the letter of resignation of the prior incumbent specifies a later date, which date then

(e) The term of office of an appointed director begins on the day the appointee accepts the appointment unless the letter of resignation of the prior incumbent specifies a later date, which date then shall be the beginning of the appointee's term. (f) Any vacancy created by failure of the board to comply with W.S. 9-1-507(a)(vii) shall be filled by appointment by the board of county commissioners for the sole purpose of acting as trustee to dissolve the district without election pursuant to W.S. 22-29-401 et seq.