How long would I possibly spend in jail if I turn myself in on a bench warrant?

I have a bench warrant for mistakingly missing court. Honest mistake. I mixed up days for court. I had actually showed all the proof I needed and was going to satisfy the court costs. However, after mixing up my days, I now have a warrant. I was wondering if I voluntarily turned myself in on a Sunday evening, would I see a judge that Monday morning? This is in Germantown, Tn. Shelby County, Tn.