My name is ***** ***** I am an experienced criminal
Georgia cannot suspend your license, because your license was issued by Tennessee. What they can do, however, is to suspend your driving privileges in Georgia. And, of course, you will have other obligations that you must resolve in Georgia with regard to your case in order to get the DUI charge behind you.
Most states belong to the Interstate Driver's Compact, an agreement between member states to keep each other apprised of serious traffic convictions and suspensions and to treat each other's suspensions as their own. Georgia and Tennessee are not members of this compact. That means nobody from Georgia is going to notify Tennessee of your DUI.
Nevertheless, your DUI and any suspension of your driving privileges will be in the national driver's data base. When Tennessee finds that, which they may if you are stopped for a traffic infraction in Tennessee or when you go to renew your Tennessee license, they can suspend your license and require you to jump through additional hoops before you can get your license reinstated. So eventually, Tennessee will notify you about a suspension. It will just take longer for the news to catch up with them.
Once they suspend you, you can see the requirements to get a Tennessee restricted license here: