When using the steam link with Hitman 2, it presents a options menu that at present can not be skipped using the controller, you must go to the computer and use your mouse.
The display options can be changed via the ingame menu and this options box is pointless when using the Steam Link.
Hitman 2 Add Launch Options
Simply right click Hitman 2 in your steam library and click Properties > Launch Options, or from the steam link menu click Manage Game > Set Launch Options.
Then add the following command:
This is the same command as in the original Hitman game and will skip the option launcher when using the steam link and allow you to get directly into the game.