You could create a function in your functions.php file that calls get_the_terms to return the list of terms as an array and then remove the item you don't want.
Give this a try:
function get_excluded_terms( $id = 0, $taxonomy, $before = '', $sep = '', $after = '', $exclude = array() ) {
$terms = get_the_terms( $id, $taxonomy );
if ( is_wp_error( $terms ) )
return $terms;
if ( empty( $terms ) )
return false;
foreach ( $terms as $term ) {
if(!in_array($term->term_id,$exclude)) {
$link = get_term_link( $term, $taxonomy );
if ( is_wp_error( $link ) )
return $link;
$excluded_terms[] = '<a href="' . $link . '" rel="tag">' . $term->name . '</a>';
}
}
$excluded_terms = apply_filters( "term_links-$taxonomy", $excluded_terms );
return $before . join( $sep, $excluded_terms ) . $after;
}
and then use it like this:
<?php echo get_excluded_terms( $post->ID, 'critter_cat', 'Critter Type: ', ', ', ' ', array(667)); ?>