SOLUTION
What eventually worked is I opened Device Manager and pressed 'Show hidden devices' in View menu. Then I was able to see all the devices I installed earlier, in particular my controller. Next I removed a bunch of devices from 3 sections: about 15 in total (some of them were displayed more than once): 'HID-compliant game controller', 'HID-compliant game system', 'USB Input Device', 'Bluetooth XINPUT compatible input device', 'XINPUT compatible HID device' and 'USB Input Device' from 'Human Interface Devices' section, 'Xbox Wireless Controller' from 'Bluetooth' section, 'Xbox Controller' from 'Xbox Peripherals' section. I didn't remove 'HID-compliand device' (misspelling intended) from 'Human Interface Devices' though because it asked me for removal of other software.
Then I restarted my laptop and happily everything worked.
After successful reboot, I reinstalled Intel CPPC driver, removed 'Xbox One SmartGlass' and 'Xbox 360 SmartGlass' (the former was installed by me. It may or may not have been involved in the BSOD issues).
I also noticed that a few of the devices I removed were back in Device Manager so I removed them again and I also opened 'Devices and Printers' in Control Panel and removed my controller from there.
I rebooted once again and everything was as it should be.
c'est tout ce que j'ai trouvé 