You can disable the Internet Mail protection provider - Click on the Avast icon in your system tray, when the On-access Scanner window is displayed, select the Internet Mail provider and click Terminate. This will disable the provider, if you have other providers that you don't require, such as Outlook you can terminate them.
This should hopefully get rid of your nagging messages, you may have to run the Mail Protection Wizard to remove email protection.
HTH David