Can't remove ice tray from GE french door fridge
DO NOT use a hair dryer in your fridge.  I've seen it many times where people destroy the fridge because they get the plastic too hot and it will actually melt.  

If you have a big cooler, load it up with all of your stuff, turn the fridge off and leave the door open.  This should melt any ice that is stuck there.  If you leave the freezer closed and don't open it, don't worry about taking your stuff out of it. It'll stay cold for quite a while on it's own.