TexasCHLforum.com

Here is the deal, a deferred adjudication over 10 years old is not considered a "conviction" (and thus a nothing) unless your offense was a felony under Title 5, Chapter 29, Section 25.07, or Section 30.02 of the Texas penal code or a similar violation under the rules of another state.
Title 5 is offenses against a person (i.e., rape, murder, kidnapping, etc...). Chapter 29 is robbery. Section 25.07 is is violation of a protective order (you violated restraining order) and Section 30.02 is Burglary. Unless you were deferred adjudication for one of these offenses, you are not considered "convicted" after 10 years.

See definition of conviction under texas chl eligibility laws.