Hi everybody and thank you all so much for helping me!

Now:
1) ICit2lol, thanks for your advice but FurMark cannot "see" any other GPU except the Intel one.

As for my PSU, I run a laptop

So I don't know if it would be of any use any information that would arise from HW Info.
2) Arc, I had already updated my Intel HD Graphics Driver without any problems at all and works like a charm (thank God, at least I have that). I followed everything as instructed, including the proposal of carwiz regarding LogMeIn. Unfortunately, simply uninstalling that program WON'T uninstall the mirror driver. I have had some problems in the past (with another laptop) with this bug of a driver and had to disable it (and keep it that way) so I wouldn't get any freezes or BSOD's (which started to occur at some point). I went on and uninstalled manually through the device manager, after I had uninstalled the program itself of course.
3) DDU worked great in safe mode (it urged me to boot in it), everything looked fine. The only thing that troubled me after rebooting in normal mode is that Windows didn't recognize (as they did WITHOUT running DDU during my first tries guided by Boozad) my GPU as "NVIDIA GeForce GT 635M" but as a "Standard VGA Graphics Adapter". I suppose it has something to do with DDU.
Note: Windows, before running DDU, were always installing the 334.89 driver (just the driver, no PhysX, no Virtual Audio, etc.) and urged me to restart but I always went on with the installation of the NVIDIA package and then restarted.
4) I was really hoping to get a BSOD, just to make a case, by loading a game but I got Code 43 again on the card, both online and offline. So no BSOD's or freezes or crashes since everything's ran by my poor Intel HD at the moment

.
5) carwiz, as for the overheating, fan is running properly but the truth is that it unleashes winds straight from the fiery depths of Moria. I will uncover and suck up any dust with the vacuum cleaner. As for the questionable activities you mention, I really don't understand (except the throttle states that you have already explained to me

) what the other mean.
I ran a fresh dm log collector and attached it. I have also attached a thumbnail with the driver tab of the GT 635M properties, just in case. The General tab is as usual...