Thank you for your post. Sorry to hear that you were/are experiencing trouble with the Intel® Wireless Display.
If by lag you refer to a general delay compared to the laptop then it is expected, it will be seen and heard first on the laptop then on the TV. But if you refer to constant freezes, then it would be more related to interference, try to move possible interference causes away, try to avoid other cables touching the TV adapter. Also see the link below for the latest software and drivers: