I need to remove the delivery completely both in the shopping cart and on the checkout page.
Hello, the shipping method, along with the checkout page, is a function of woocommerce rather than the theme itself. You can find how to customize the woocommerce plugin on their support site and also about shipping page customization here: A Complete Tutorial on How to Hide WooCommerce Shipping Methods - PluginHive I recommend making all your customizations via the child theme.