This gives me the term_link, but still the name is not shown:
<?php if( have_rows('bilder', 'option') ): ?>
<ul>
<?php while( have_rows('bilder', 'option') ): the_row();
// vars
$image = get_sub_field('bild');
$category = get_sub_field('kategorie');
?>
<?php
$terms = get_sub_field('kategorie');
if( $terms ): ?>
<?php foreach( $terms as $term ): ?>
<?php echo get_term_link( $term ); ?>
<?php echo $term->name; ?>
<?php endforeach; ?>
<?php endif; ?>
<li>
<img src="<?php echo $image['url']; ?>" alt="<?php echo $image['alt'] ?>" />
</li>
<?php endwhile; ?>
</ul>
<?php endif; ?>
