Hi,
you can create an override by copying /components/com_jsn/view/profile/tmpl/default.php into /templates/your_template_folder/html/com_jsn/profile/default.php
in file /templates/your_template_folder/html/com_jsn/profile/default.php delete this code from line 48 to line 58
<?php if (JFactory::getUser()->id != $this->data->id) :
$db=JFactory::getDbo();
$query=$db->getQuery(true)->select($db->quoteName('id'))->from('#__contact_details as c')->where($db->quoteName('user_id').'='.$this->data->id);
$db->setQuery($query);
if($contact=$db->loadResult()) : ?>
<li class="btn-group">
<a class="btn btn-default" href="/<?php echo JRoute::_('index.php?option=com_contact&view=contact&id='.$contact,false);?>">
<span class="icon-envelope"></span> <?php echo JText::_('JGLOBAL_EMAIL'); ?></a>
</li>
<?php endif; ?>
<?php endif; ?>