In some cases, the automatic download table that WooCommerce integrates in the order email is not useful. With the following code in the functions.php file this is removed.
add_action( 'woocommerce_email', 'remove_order_downloads_from_emails', 10, 1 );
function remove_order_downloads_from_emails( $emails ){
remove_action( 'woocommerce_email_order_details', array( $emails, 'order_downloads' ), 10 );
}