After you file

Ok ... you can file using the W-2 with the wrong SS#  and you have nothing to amend when you get the W-2C.   Your employer has to send the corrected form to the SS admin who forwards that to the IRS. 

 

Now it is up to the IRS to process the return ... they will probably hold the return until they can confirm your W-2 in the system.  So all you can do is wait patiently until they sort things out.