Add [EDIT] in a PHP conditional, with style tags surrounding:
if (is_singular( 'experience' )) {
$date = get_the_date('F d, Y');
echo '<p class="entry-meta"><span class="pointer">«</span>';
echo '<a href="/health-experiences">Return to Health Experiences</a> | '.$date; edit_post_link( __('[EDIT]', 'textdomain'), ' | <span class="small">', '</span>' );
echo '</p>';
}