There is no rhyme or reason for the way the Launcher behaves. Nothing short of an Exorcism will fix it.
In addition to the tip @igazor posted here are a few more tips that have worked for me:
Load the game and open the Launcher at the main screen where you select the town to play. Optional if you don't have much RAM to spare: exit the game and clean out those miserable .temp files in the DCCache folder. This will not work for uninstalling.
Many of us are seeing EA script errors when loading: just accept to keep them running and hit the X in the window to close it. There is usually two of those notices and if you have uninstalled Origin as I have a notice shows up the game can not connect to origin. Just click okay.
I tried this and it worked for me: used my mouse to slide the "Sims 3 is not responding" notice away from the Launcher window and proceed with whatever you were doing.