§ 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.
http://tlo2.tlc.state.tx.us/statutes/docs/PR/content/htm/pr.015.00.000301.00.htm