It's a succulent. It would be a rare succulent that died just because you pruned it - and the first jade that I've ever seen that has done so. I have pruned yuccas, jades, afras, aloes, agaves, and usually they are better for the experience.
The one thing you didn't mention is if you transplanted it first and THEN pruned it. Usually you want to do either/or, but not both at the same time. If you transplanted it right before you pruned it, you have for all intents and purposes turned it into a big cutting. It just means be patient.