Hi Natasha,
Once you've clicked the name of your source, at the top you should see your source name in red and then a row of blue buttons just below that, similar to the screenshot I've attached here. The leftmost blue button should be "Admin". Click on that, and then from there you should be able to follow Samuel's directions to delete the source.
Also, I understand that these are quite difficult times for NOAA research, so if you or your colleagues could use further assistance then please feel free to reach out.