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// If the taxonomy is the default category then:
$args = array(
'post_type' => 'post',
'category_name' => $category_name,
'no_found_rows' => true,
'update_post_term_cache' => false,
'update_post_meta_cache' => false,
);
$posts = new \WP_Query( $args );
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$args=array(
'posts_per_page' => 50,
'post_type' => 'my_custom_type'
'cat' => $cat_id,
);
$wp_query = new WP_Query( $args );
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<?php while ($QUERY->have_posts()): $QUERY->the_post();
//put it inside
$c = get_the_category();
// Name
echo $c[0]->cat_name;
// Slug
echo $c[0]->category_nicename;