You should be able to remove it without a problem if you're careful. The monitor is in a frame, correct? Most frames have handles on the sides, as long as you keep your hands away from the components on the top and bottom of the main board, you won't have any issues.
The tube itself won't shock you, and the frame won't shock you, it's just things having to do with the high voltage circuitry, the flyback, the anode on the back of the tube, these types of things can be dangerous, but touching the frame to remove it won't be any problem at all.
Also, there's a high likelihood (although it's not guaranteed!) that the tube has disharged itself over two months and doesn't even have a charge in it.
PERSONALLY, I wouldn't even discharge it if you're getting rid of it or storing it. I only discharge them when i'm going to be removing the board.