When you prepare the Georgia state return, you will need to make adjustments to ensure the only earnings you report there are from your rental property. These entry points will be in the state interview section of the program. I've included a sample screenshot below but essentially, you will need to enter the actual amount that should either be allocated to Georgia, or you will need to enter zero in the Georgia column amount.
There will be a few other areas where you will also need to review your entries. Please see how do I file a nonresident state tax return for guidance on these steps.