Not a problem, which leads us to a question, what email client do you use ?
The Internet Mail (ashMaiSv.exe) is for pop3 email clients, Thunderbird, Outlook Express, etc. The Outlook/Exchange plug-in is specifically for MS Outlook.
Another point if you only use web-based email, viewed through your browser it is still advisable to have the Internet Mail provider running and increase the sensitivity to High. Some malware comes with its own email program and avast would detect that trying to send email. So it might provide an indication that you have an undetected or hidden trojan spambot on your system.