What should I do? My supervisor is nitpicking me to death because she found out I got a raise and she didn't!?

Save everything as you have been doing. Remain as professional as possible. This will either p as your dim-witted supervisor gets over this -or- your new manager will pick up on the immature and inappropriate behavior. I know it sucks right now, but don't let the petty stuff get you down. Whenever your supervisor nit-picks as how you can do it better. Kill him/her with kindness. I know, easier said than done. Trust me that this will eventually blow over and he/she will move on to someone/thing else.