Hi Glorian,
You can click on the Account tab from the user edit profile page and change the password. Check my screenshot below.
By the way, you can remove the code from this file ->
JoomlaFolder\modules\mod_easydiscuss_welcome\tmpl\default.php
//LINE 57 - 61
<?php if( !$config->get( 'layout_avatarLinking' ) || $config->get( 'layout_avatarIntegration') == 'default' || $config->get( 'layout_avatarIntegration') == 'gravatar' ){ ?>
<li>
<a class="edit-profile" href="<?php echo DiscussRouter::_( 'index.php?option=com_easydiscuss&view=profile&layout=edit' . $menuURL );?>"><span><?php echo JText::_( 'MOD_EASYDISCUSS_WELCOME_EDIT_PROFILE' );?></span></a>
</li>
<?php } ?>