Well, here's what happened: under the metal cover I snatched, there was a
Broadcom rectangular "cristal". Since the whole thing was tightly soldered, I
tried to remove the cristal. I ended up breaking half of it (ito a thin
powder).
At this point I stopped, tried the wifi, and the good news is that the reader
still works, and even if I can enable wifi via software, it doesn't find any
network, and manual login doesn't work either obviously (but I tried anyway).
So, yeah, no more wifi :)
But I was lucky.