What happens when you try? Any error messages?
Make sure that latest updates should be installed (latest light-room version). Because if you are using old version software then the camera is not able to get compatible with adobe software. If still after updates the same issue happens then use Sony RX100 Manual for diagnosing and troubleshooting your camera.
There have been 5 different versions of this camera, with different Lightroom version requirements:
Sony RX100 (DSC-RX100) - Lr 4.2 or higher
Sony RX100 II (DSC-RX100M2) - Lr 5.2 or higher
Sony RX100 III (DSC-RX100M3) - Lr 5.5 or higher
Sony RX100 IV (DSC-RX100M4) - Lr 6.1.1 or higher
Sony RX100 V (DSC-RX100M5) - Lr 6.8 or higher
From here: Cameras supported by Camera Raw