I have a Misdemeanor that is not showing up on my record .....?

I was caught stealing gas from a car from the Dalworthington Police Dept. in Arlington, TX almost two months ago and I checked my record from two sites that show your criminal record and it didn't show up on either one. I went to jail and in the morning the next day, they set me free and I didnt even see the judge. Is this a pending case or will it ever show up on my record? I am wanting to join the Air Force and I don't want to tell them that I have a misdemeanor on my record esp. if it won't ever show up. PLEASE HELP!!!!