Check out the Microsoft Support Page. This links tells you what to do when Edge stops working after a Windows update.
Register Hereor login if you are already a member
Did you do any changes recently for your computer?
Please check if any external device connected to the computer. If yes, disconnect them and try again.
If no, please your the original Windows 10 installation media to repair your Windows. You could follow the tutorial below to create the installation media :
Download Windows 10