How can I make author's "Contact" envelope visible to anonymous readers?

I just need a little help here.

I suspect that a simple answer may be in the file "contact.author-pane.inc". Here's the original code:

<?php
// $Id: contact.author-pane.inc,v 1.1.2.1 2009/01/05 04:38:06 michellec Exp $

/**
 * @file
 *   This file provides a preprocess function on behalf of the contact module.
 */

/**
 * Implementation of hook_preprocess_author_pane().
 */
function contact_preprocess_author_pane(&$variables) {
  global $user;
  $account = $variables['account'];
  $account_id = $account->uid;
  $image_path = $variables['image_path'];

  if (($account->contact) && ($account_id != $user->uid) && ($user->uid != 0)) {
    $variables['contact'] =
      l(theme('image', "$image_path/contact.png", t('Contact user'), t('Contact user'), NULL, TRUE),
        "user/$account_id/contact", array('html' => TRUE)) ;

    $variables['contact_link'] = l(t('Contact user'), "user/$account_id/contact");
  }
}

What do I need to change in

 if (($account->contact) && ($account_id != $user->uid) && ($user->uid != 0)) {
    $variables['contact'] =
      l(theme('image', "$image_path/contact.png", t('Contact user'), t('Contact user'), NULL, TRUE),
        "user/$account_id/contact", array('html' => TRUE)) ;

in order for the Anonymous users to see that contact.png image???

Please help...

as a wild guess of a non-coder, I removed the bit that says
&& ($user->uid != 0)
and it seems to work.

Is this the correct thing to do? Please reply...

Thanks Michelle!