Hello, PEYO,
Thank you for your response.
BE ATTENTIVE and don’t place the private information in the general message area because all the visitors have access to that information.
We’ve edited your reply and moved access into the Private Content area.
We would recommend you contact support of WooCommerce plugin – https://wordpress.org/support/plugin/woocommerce/ , because Shipping Method displaying on the Cart page is independent of our theme.
Kind Regards,
8theme team