Ticket for marijuana in Texas?

A few years ago, I was 23, I recieved a ticket for possession of marijuana (less than a gram). I pleaded no contest, paid my fine and went on my way. There was no arrest or anything of that nature but I was wondering how bad this will look on a back ground check with a this reputable company I am thinking about applying for. If they will see it as a big deal I guess I will get it expunged but I'm trying to see if it will affect my chances. I am an honest man, with a family, just had some issues back when I got out of the military(mainly PTSD) and marijuana helped. Since then I have gotten legal help for those problems but need to know how it will look?