Texas Government Code - GOV'T § 573.062. Continuous Employment

(a) A nepotism prohibition prescribed by Section 573.041 or by a municipal charter or ordinance does not apply to an appointment, confirmation of an appointment, or vote for an appointment or confirmation of an appointment of an individual to a position if:

(b) If, under Subsection (a), an individual continues in a position, the public official to whom the individual is related in a prohibited degree may not participate in any deliberation or voting on the appointment, reappointment, confirmation of the appointment or reappointment, employment, reemployment, change in status, compensation, or dismissal of the individual if that action applies only to the individual and is not taken regarding a bona fide class or category of employees.