Please try this
<div class="post-category">
<?php
// @ https://developer.wordpress.org/reference/functions/get_the_terms/
$terms = get_the_terms( get_the_ID(), 'video-category' );
if ( $terms && ! is_wp_error( $terms ) ){
$term_links = array();
foreach ( $terms as $term ) {
$term_links[] = '<a href="' . esc_attr( get_term_link( $term->slug, $taxonomy ) ) . '">' . __( $term->name ) . '</a>';
}
$all_terms = join( ', ', $term_links );
echo '<span class="terms-' . esc_attr( $term->slug ) . '">' . __( $all_terms ) . '</span>';
}
?>
</div>