Please try the following:
- Ensure you're on the latest Anki 2.1 version.
- Go into the Windows Update settings, and make sure all updates have been installed.
- Restart your computer.
If problems continue after that, instead of running Anki directly, please use Start>Run and type cmd.exe. When a console window appears, please type
cd \program files\anki & anki-console
Presumably Anki will fail to open like before. But it should give you some lines of debugging info; please copy&paste or screenshot the text and attach it to your support ticket.