How would this fingerprinting for shoplifting affect my life?

A few years ago, I was in a desperate place, with no money and a young child. I acted hastily and stole deli from a store so that I'd have something to make my son for lunch that week. I was caught, handcuffed in the back of store, put in the back of a police car and fingerprinted at the station. The whole scenario seems surreal now. All of this is for $42 worth of food. I had never done anything like this but then again. I had never been in such a desperate situation. I couldn't afford an attorney, and one was not assigned to me because it was not a felony. I wanted to speak to the judge face to face because I was mortified at what I had done. I was a mother, a freelance writer, looking to get out of the field and go back to work. I admitted what I had done, was brutally honest with the judge, and just about lost it. I was very emotional about my son, about how embarrassed I was about what I did. This is not the person I am, nor do I want to be. The judge wanted to give me a chance to get back on track. She told me that if I do this one day course and bring back the certificate, she'll waive all court fees and dismiss the case. The problem is that I was fingerprinted so even though she dismissed the case and I wasn't convicted, doesn't this mean, if someone does a background check on me, it will show that I was arrested?