Xbox Avatar Gamer Picture won't update on Games for Windows Live

 Sorry if this is the wrong place to ask this, but I could use some help.
 
So I made one of them Xbox 360 Avatar characters and set it as my Gamer Picture.  It showed up as my Gamer Pic on the console and on the Games For Windows Live client, like it should.   This was a few months ago.
 
On Saturday, I made a new Avatar guy and used it as my Gamer Picture.  I see it as my Gamer Picture on the console and on Xbox.com, but the Games for Windows client keeps showing the Gamer Pic with the old Avatar that I don't even have any more.  What am I supposed to do get my GWF client to correctly show the right Gamer Pic of the current Avatar?  I've cleared my browsers' history and cookies, but that didn't help.
 
I'm getting the feeling that the client downloaded the Avatar Gamer Pic when I first made it and doesn't want to download a new one, so I'm seeing the old picture instead of the one I'm actually using.  Am I supposed to find where it saved the picture to my computer and delete it, or something?