Got it! If this is of any use to anyone else, here is the working template:
<?php
/**
* Single Event Meta (Organizer) Template
*
* Override this template in your own theme by creating a file at:
* [your-theme]/tribe-events/modules/meta/organizer.php
*
* @package TribeEventsCalendar
* @version 4.4
*/
?>
<div class="tribe-events-meta-group tribe-events-meta-group-organizer">
<h3 class="tribe-events-single-section-title"><?php echo "Organizers"; ?></h3>
<dl>
<?php $posts = get_field('the_organizers');?>
<?php foreach( $posts as $p ): // variable must NOT be called $post (IMPORTANT) ?>
<dt style="display:none;"><?php // This element is just to make sure we have a valid HTML ?></dt>
<dd class="tribe-organizer">
<a href="<?php echo get_permalink( $p->ID ); ?>"><?php echo get_the_title( $p->ID ); ?></a>
<?php the_field('author', $p->ID); ?>
</dd>
<?php endforeach; ?>
<?php do_action( 'tribe_events_single_meta_organizer_section_end' );
?>
</dl>
</div>
