My question involves a background check in the State of: Texas

I have a class B misdemeanor which is from 33 yrs ago for which I took a guilty plea which resulted in a conviction on my record at the advise of a lawyer (no probation ,deffered adjuciation, or community service etc..). Based on what I read, expungement is not an option. Since there was no deffered adjuciation I'm told it does not meet the requirement for non-disclosure or sealing. Are there any other option available to block this from public view ? This is the only thing on my record. Apprecaite any informaiton..