I'd recommend forcing the use of the www. version of the site, for this reason amongst others, this site has excellent reasons why...
http://www.yes-www.org/why-use-www/
To do this in .net you can add the following to your web.config
<system.webServer>
<rewrite>
<rules>
<rule name="Redirect to www" stopProcessing="true">
<match url="(.*)" />
<conditions trackAllCaptures="false">
<add input="{HTTP_HOST}" pattern="^sitename.com$" />
</conditions>
<action type="Redirect" url="{MapProtocol:{HTTPS}}://www.{HTTP_HOST}{HTTP_URL}" redirectType="Permanent"/>
</rule>
</rules>
<rewriteMaps>
<rewriteMap name="MapProtocol">
<add key="on" value="https" />
<add key="off" value="http" />
</rewriteMap>
</rewriteMaps>
</rewrite>
</system.webServer>
This will auto-redirect permanently (see the addition of redirectType="Permanent") for non-www URLs to the www equivalent and retain the HTTP(s) protocol.
The trackAllCaptures part is related to the regex pattern matching - in our case we do not need to capture anything; we only need to match for the rule, so we can leave as false.
The regex pattern ^sitename.com$ will match when the hostname matches exactly to "sitename.com" - the ^ means the start position and the $ means the end position
The rewrite map is from an idea from Jeff Graves I believe, http://jeffgraves.me/2012/11/06/maintain-protocol-in-url-rewrite-rules/
The way I have shown shows just one way to do this, like with most things - there are multiple ways on achieving this.
Scott Forsyth has an article on a different way of achieving this too (also references Jeff Graves)
http://weblogs.asp.net/owscott/url-rewrite-protocol-http-https-in-the-action