Texas Government Code - GOV'T § 2306.036. Employment Of Director

(a) With the approval of the governor, the board shall employ a director to serve at the pleasure of the board.

(b) After the election of a governor who did not approve the director's employment under Subsection (a), that governor may remove the director and require the board to employ a new director in accordance with Subsection (a).  The governor must act under this subsection before the 90th day after the date the governor takes office.