Is this machine totally up to date - 7 SP1 including IE10? Even if you use another browser as default it is important that IE be the latest.
Run the BitDefender Uninstaller
• BitDefender Antivirus Removal Tool
Download the http://www.bitdefender.com/uninstall
First right-click on the red BitDefender icon near the system tray choose on Exit.
Wait a few seconds. Afterwards double-click on the BitDefender uninstall tool.
You will need to reboot your computer for the changes to take effect.
Uninstall any McAfee product listed in Control Panel > Programs > Uninstall a Program
Run the MCPR cleanup tool (again)
Reboot and then run the McPreinstall Tool:
Go to the online account page and reinstall from there.
BitDefender was already uninstalled. Nevertheless, I followed the procedure and tried but it doesn't work, I receive the same error message.
I also tried this solution : https://community.mcafee.com/message/279205#279205. Diagnosis and symptoms seemed to be exactly the same. I was able to do what he proposed but that doesn't change anything, I still receive the error message.