The conviction could render you deportable. Expungements do not work for immigration purposes.
You should retain an experienced immigration lawyer to review all the facts and advise you accordingly.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship.
You need to consult with a local experienced immigration attorney. The attorney will need to analyze the Texas shoplifting statute to determine if it is a crime involving moral turpitude. Furthermore, your entire history has to be analyzed to determine the impact of such conviction on your immigration status. Good luck.