No problem, here it is.
I tried first directly installing the WiDi software itself from intel, it couldn't install, no verbose errors to help me fix it (very windows like). Then I looked for possible common errors and I just discovered WiDi can only be installedin a very narrow list of Intel-only devices, or so I understand.
Despite that I tried with the WiDi Update Tool, which is the one that gave me the instalation error I posted here.