[drupal_mail()](http://api.drupal.org/api/drupal/includes!mail.inc/function/drupal_mail/7), by default sends a mail as plain text.

If you print out the array `$message['headers']`, you will get something like:
 

    array(
        'MIME-Version' => '1.0',
        'Content-Type' => 'text/plain; charset=UTF-8; format=flowed; delsp=yes',
        'Content-Transfer-Encoding' => '8Bit',
        'X-Mailer' => 'Drupal',
      );

As you can see, the `Content-Type` in the mail header is `text/plain; charset=UTF-8; format=flowed; delsp=yes`. You can try by modifying this header in [hook_mail_alter()](http://api.drupal.org/api/drupal/modules!system!system.api.php/function/hook_mail_alter/7), you could use one of the modules which allows you to send the mail as HTML, like [HTML Mail](http://drupal.org/project/htmlmail), or [Mime Mail](http://drupal.org/project/mimemail).

__Edit:__

Following the comments by @Ayesh and @alechko and after looking into the APIs, I found out that the headers are not the only reason for sending the mail as plain text. Because `drupal_mail()` internally makes a call to [drupal_mail_system()](http://api.drupal.org/api/drupal/includes!mail.inc/function/drupal_mail_system/7), which returns an object that implements the [MailSystemInterface](http://api.drupal.org/api/drupal/includes!mail.inc/interface/MailSystemInterface/7) interface. The `format()` method implemented by `drupal_mail_system()` is responsible for stripping out the HTML from the emails. So, even if the headers of the mail show the formats to be HTML, the mails would be sent as plain text only. So, I guess one could not send an HTML mail using `drupal_mail()`. You should look for some other alternative (module) mentioned above.