Texas Property Code - PROP § 301.021. Sale or Rental

(a) A person may not refuse to sell or rent, after the making of a bona fide offer, refuse to negotiate for the sale or rental of, or in any other manner make unavailable or deny a dwelling to another because of race, color, religion, sex, familial status, or national origin.

(b) A person may not discriminate against another in the terms, conditions, or privileges of sale or rental of a dwelling or in providing services or facilities in connection with a sale or rental of a dwelling because of race, color, religion, sex, familial status, or national origin.

(c) This section does not prohibit discrimination against a person because the person has been convicted under federal law or the law of any state of the illegal manufacture or distribution of a controlled substance.