Thank you for the information provided.
I checked the TV specifications and I was not able to confirm its compatibility with Intel® WiDi. I can clearly see that it supports Wi-Fi Direct; this will allow you to connect compatible devices for file sharing applications or others, but this is not the same as Intel® WiDi.
You may try to connect the computer via Wi-Fi Direct by clicking on “Add a device” as explained in the first option here: http://windows.microsoft.com/en-us/windows-8/add-view-manage-devices-printers
If you want to connect using Intel® WiDi my best suggestion is to verify with the TV manufacturer if this is a supported feature because I believe your TV should have an option in the menu for it.