Avast can not scan secure mail (SSL / TLS)
...yeah, we're on avast 4 here, heard of Stunnel ?
http://www.stunnel.org/with stunnel installed and properly configured, avast will scan any mail. A better option is to switch to avast 5 beta that integrates an ssl proxy. In both cases, the mail client account must be set to non-ssl ports, and either stunnel, or avast itself in V5 will do the rest, ie reroute to ssl ports when required.
@ the OP: If you decide to stick to V4, and use Stunnel, don't forget to uncheck "ignore local connection" in the advanced email scanner settings. Depending on your email account type, you might have a hard time configuring Stunnel, it's easy with Gmail but you seem to use a personal non-standard mail system, so I'd suggest again that you switch to V5 beta, available on the forums.