How do you Remove drywall mud from my new carpet?

If the mud is still wet, scoop up as much as possible, and rub it with a moist sponge or cloth. Keep a pan of fresh water there, and just keep rinsing out the sponge.

If it has dried, it will take longer. You will need to keep putting moist rags on it to soften is back up. Just don't put anything dripping wet so it doesn't soak your padding and such.