In what way does nothing happen? Are you saying that you don't even see the
Print dialog box if you choose File | Print?
It is possible that code (from a poorly designed add-in, for example) is
intercepting the FilePrint command. Did you install something recently?
If, as a troubleshooting step, you start Word in Safe mode (hold Ctrl as you
start the application and confirm that you want to make use of Safe mode),
does that make a difference?