Hi, thank you very much for your post.
To answer your question, WiDi must be pre-installed and enabled by the system manufacturer; if it is not advertised to support WiDi even thought you meet the required hardware it might not work.
To avoid any inconvenience in the future, if you are planning on upgrading your wireless adapter, you need to know that various Intel wireless adapters are subject to country-specific legal regulations, it is why Intel recommends that the system manufacturer be the one in charge of changing the wireless adapter, you can check more detailed information in the following link:
http://www.intel.com/support/wireless/wlan/sb/CS-006006.htm