The root of this error message is the Windows Modules Installer service is disabled. So in order to fix this error, make sure that the Windows Modules Installer service is running.
Check this post if you receive a Windows Resource Protection Could Not Perform The Requested Operation error message.
How To Fix Windows Resource Protection Could Not Start The Repair Service In Windows 10
Step 1. Press Windows Key + R and type services.msc in the Run dialog box and click OK.
Step 2. Locate Windows Modules Installer or the TrustedInstaller service. Right-click on it and select Properties.
Step 3. Make sure that the Service is Started. If not, set the Startup type to Manual and then click on Start button. Click Apply > OK to save changes.
You can now close Services snap-in and then try to run System File Checker.
See the following video for live illustration of this method:
That’ s about it.