Some microwave oven capacitors have built-in bleeder resistors. Check the label on the side of yours -- it may say "internal resistor", or it may show a little circuit diagram with a capacitor symbol in parallel with a resistor. (The resistor will probably be drawn as a rectangle, not a zig-zag.)
[Update - I see you posted that yours does indeed have this resistor. Good.]
So if you just leave the microwave unpowered for a good stretch, it will discharge on its own. If the internal resistor is 10 megohms, and the capacitor is about 1 microfarad, the time to discharge to a safe voltage will be on the order of several 10s of seconds. So let your microwave sit overnight for safety's sake and the cap should be plenty dead.
Of course, you will want to check to be safe. If you have a **good** voltmeter (safe to use with 2+ kV, in case something has gone horribly wrong with the cap's internal bleeder resistor), you could just measure the terminals. Otherwise, just short the terminals with a screwdriver. Wear protective glasses, again as a precaution against the internal resistor having failed.
Good for you to repair rather than junk it
