Below is a suggested list of steps/actions to help troubleshoot your issue of Outlook not properly saving or syncing your email rules:

1. Restart your computer
2. Check the version of your Outlook software to see if a software update is needed
3. Run a Repair of the Microsoft Office installation
4. Check for any conflicting Outlook Add-ins
5. Reset the Outlook Rules Manager
6. Check the settings of your email account to make sure it is properly configured
7. Reapply the email rules then restart Outlook