I see from your Programs list that you have Revo Uninstaller pro installed; just run it and force the uninstall of office, you'll be probably be then OK
I found also a post here in the forum, I quote it here USE IT WITH CAUTION!!!!
...finally i came accros manual fix using regedit on
it consist of several key consist of alphabet and numbers, i just scroll down until i found the one that i want to delete which is Office 2010.
look again on add,remove list and its gone and i can install new office again.YAY!!
THIS ALSO WORK WITH ANY OTHER PROGRAMS WHICH CANT BE UNINSTALL COMPLETELY OR REMAIN ON ADD/REMOVE LIST
CAUTION: i just sharing the info,don't do it if you unsure about it but so far it works on mine. Im not responsible for anything happens ,with all due respect.