I Cannot play PvP

I suggest you attach a DXDIAG report, as someone may spot something causing your issue.

Here is the DxdIag report but it"s written "No problem has been detected" on all pages so i'm not sure it will help...

And like I said I can play on coop games with other players so it's not like i can't start a match at all.

If you look at the Diagnostics section of that report, you will see that multiple applications are having issues. This could be because your C drive requires at least 10% of free space to operate properly. Free up some space and make sure you've addressed all the issues shown in the Diagnostics section.

I mean yeah I have a few issues I guess but why would it block only PvP games ? 
And the fact that I could play PvP games, took a few hours break and then was blocked out of PvP games without restarting the computer or installing other games so the free space wasn't a problem at 10AM but it was at 4PM doesn't really feels right for an explanation.

And I freed 150Go on my C drive (the game isn't even installed on this drive) and I didn't change a thing.

I'll check the other issues. If anyone have an idea while I check that please feel free to help.

virtual memory gets cached to C (unless you specifically change that). If it can't cache memory, it can cause issues.

Different games/applications have different memory needs. So, you may not see the same behavior with all applications.

I suggest you check your virtual memory settings in Windows.

This may not be your issue. However, it's worth looking into.