How do I display portfolio categories on an individual portfolio item?

Hi,
I found the following function to display portfolio categories on a portfolio item:
function show_portfolio_category_func() {
global $post;
$the_terms = get_the_terms( $post->ID , ‘portfolio_entries’);
$output = ”;
foreach($the_terms as $term) {
$termlink = get_term_link($term->term_id, $term->taxonomy);
$output .= ‘<span class=”portfolio_cat”>‘.$term->name.’ </span>’;
}
return $output;
}
add_shortcode(‘portfolio_category’, ‘show_portfolio_category_func’);

How do I modify this to ONLY show categories within the Parent Category “Habitats”?

If you look in private content and scroll to the bottom, you can see the portfolio categories listed – I like this but want to remove the categories that are not part of the Habitats parent category.

Thanks for your help as always!