Maybe I got the source of the problem:
So far I've run "wine lotrbfme_.exe", skipping the T3A launcher, and the game runs well (except from the connection to the server, "login timed out").
If I run "wine lotrbfme.exe", the T3A launcher opens, and when opening the game from it, the game crashes at the splashimage, if that's the name (the first image that appears, with The Lord Of The Rings on it).
Is it compulsory to open the game from the T3A launcher in order to access the servers? Do you know any idea on how to fix this? :'( I'm not a programmer/pro informatician, I have little idea. I'm just a highly motivated regular user.