I think you would be fine. Your car seems light enough. These are designed to haul, that's why we get em. Lots of people think only ATV's, quads, Harleys, Rzrs can be hauled. Toys are toys. I haul a 16.5 Long travel 4 seat Sand car, and will be hauling my jeep soon. If I had a smart car, I would consider it a toy
so why not. I would recommend you pay close attention to ramp angle when loading/unloading so as to not high center, as well as good strap down techniques. Keep the heaviest end of the car as far forward as possible to help with weight distribution.
Good Luck, send us a pic once she is in.