Blue screen of death on launch

Your most likely using the streaming launcher which is why you cannot repair.  For the streaming launcher:

Streaming launcher - If the letters "ST" is present, close the launcher, right mouse click on the game shortcut, select open file location and delete the BitRaider folder. Then start the launcher.

Worse case scenario switch to the non streaming launcher:

NOTE this is a complete download of the game again

right mouse click on game shortcut and select open file location

open the launcher.settings file in notepad and locate the below line and edit to the below

, "PatchingMode": "{ \"swtor\": \"SSN\" }"
, "bitraider_disable": true

SAVE the changes.

Delete the BitRaider, Movie and Asset folders then start the launcher.

@Slayren

Here is a 'guide' that I created for folks..

http://answers.ea.com/t5/STAR-WARS-The-Old-Republic/Guide-quot-How-to-install-Swtor-Correctly-and-address-Windows-10/td-p/4851036

Bluescreen of death would suggest either an 'Overlay' is active that your system does not like, but also this would ideally be a driver related issue, try an older version of your display driver, something 2-3 versions back if you can.

@Slayren

BSODs are invariably a low level driver / hardware issue , use this initially to have a look at the crash logs to see if it gives any indication.

Can take the system to a clean boot and see if it persists , just remember to return to normal boot after , or selectively add things per the guide if it stops the BSOD to narrow down (if it helps).

Edit - if using Bitraider you will need to leave these services enabled

Post a dxdiag as well just for info on hardware etc