Despite the name, this is not just "DirectX 11 from 2010." It is the final cumulative redistributable package from Microsoft that contains every previous version of DirectX (from 9.0c up to 11) released up to June 2010.

If you still get missing DLL errors after installing this, the game may require an even older version of DirectX (pre-9.0c) – in which case, install the game’s bundled DirectX folder from its disc or download, as it may contain version-specific redistributables.