That's how I read it. There is more to it though, more stipulations and you must request the exemption.
(21) Grant of poultry/rabbit exemption -- An authorization from the department for a person to engage in a very low volume business of slaughtering and processing poultry or rabbits of his/her own raising on his/her own property and personally distributing the carcasses and/or parts, to retail consumers, restaurants, or other retail establishments, provided that the following conditions are met:
(A) the person slaughters less than 10,000 poultry, rabbits, or a combination thereof, in a calendar year;
(B) the person does not buy and sell other poultry or rabbit products (except live chicks, baby rabbits, and/or breeding stock);
(C) only sound, healthy poultry or rabbits are slaughtered and all processes and handling are conducted under sanitary standards and procedures resulting in poultry and rabbit products that are not adulterated;
(D) the product bears the processor's name and address and the statement "Exempted P.L. 90-492"; (unless immediately sold to the household consumer); and
(E) the poultry is not a ratite. (Ostriches, Emus.....)
(2) Application. To apply for a grant of inspection, custom exemption, and/or poultry/rabbit exemption, a person shall complete department application forms which can be obtained from the Meat Safety Assurance Unit, Department of State Health Services, 1100 West 49th Street, Austin, Texas 78756.