Game for DirectX 9 not working with DirectX 11
DirectX installs can co-exist. So it should be safe to install dx9 when dx11 is already installed.
You could also download a dll-pack, which might include the one you're missing. Download here
Orcs Must Die totally supports DirectX 11. Gamers have confirmed it working: Read More Here
Its your DirectX that is malfunctioning due to some reason. Microsoft has also logged it. Follow the instructions Here to fix it.
Check if your nVidia driver is over-riding any DirectX settings.
Test your system if the game can actually run and ur system can handle it Here