You may want to try the following:
Run this fix from Microsoft: http://support.microsoft.com/mats/Program_Install_and_Uninstall
Uninstall Reader using Add/Remove Programs
If you want to reinstall Reader, download it from http://get.adobe.com/reader/direct/
Thanks, Claudio! I had a problem similar to the OP but with Adobe Reader 9.4.7
After downloading and installing Adobe Reader 10, I could not uninstall version 9.4.7 because of corrupted patch issues.
I ran your suggested fix and the patch issues were repaired and adobe reader 9.4.7 was no longer on my "Add or Remove Programs" menu.
Again, many thanks for your suggested fix.
Well, I'm surely glad that I could be of any help...