Show only one category in metadescription

Good afternoon,

I would like to show only one (the first) categorie in the metadesription. I found some code but I can’t make it work.

I’ve got this:

                    $taxonomies  = get_object_taxonomies(get_post_type($the_id));
                    $cats = '';
                  $excluded_taxonomies =  apply_filters('avf_exclude_taxonomies', array('post_tag','post_format'), get_post_type($the_id), $the_id);

                    if(!empty($taxonomies))
                    {
                       foreach($taxonomies as $taxonomy)
                        {
                            if(!in_array($taxonomy, $excluded_taxonomies))
                            {
                               $cats .= get_the_term_list($the_id, $taxonomy, '', ', ','').' ';
                           }
                        }
                   }

                    if(!empty($cats))
                    {
                        echo '<span class="blog-categories minor-meta">Published '.__('in','avia_framework')." ";
                        echo $cats;
						}

                      // echo '</span><span class="text-sep text-sep-cat">/</span>';
                   }

And found this:
if ( $category[0] ) {
echo ‘term_id ) . ‘”>’ . $category[0]->cat_name . ‘ ; }`’

Could you give me a hand? Thanks!