How to change a column width on WooCommerce orders page (Admin)

To set a different column width for the Ship to, add this to your functions.php:

add_action( 'admin_head', 'wpse_237354_ship_to_column' );

function wpse_237354_ship_to_column() {
    global $pagenow;
    if ( $pagenow == 'edit.php' ) {
        ?>
        <style type="text/css">
          .manage-column.column-shipping_address {
               width: 10px;
           }
         </style>
        <?php
    }
}

This adds custom CSS in the header page with your new column width. Just change width: 10px to your new size.