Sort taxonomy by custom field 'display_order'

sort_taxonomy.php

$terms = get_terms( 'taxonomy_name', array(
	'hide_empty' => true,
) );

$terms_sorted = array( );
foreach ( $terms as $term ) {
	$single_term = get_term($term);
    $display_order = get_field( 'display_order', $term );
    $terms_sorted[$display_order] = $term;
}
ksort( $terms_sorted, SORT_NUMERIC );
$terms = $terms_sorted;