1
Connect the external SD card reader with an SD card inserted to your PC.
A
Right click your Start Button and open Disk Management.
Expand the bottom pane in Disk Management so all drives are visible in that pane.
Please provide a screenshot of that window.
B
Right click your Start Button and open Device Manager.
Please provide a screenshot of the full Device Manager window.
2
In the meantime, connect the SD card reader up to another PC< is the card reader working in that PC.