There is not editable option to change that display, it is automatically set by the information your browser sends to the LQ server every time you load a page. Some distributions don't send any data by default (I.E. Slackware), and others simply aren't well known enough to have an icon yet.
However, you can edit the information sent to LQ from your browser's configuration, which will allow you to specify any distribution you want. Assuming your distribution is in the database, you can use the method mentioned here
to add it's name to your useragent string.