The newest versions of WooCommerce saw a new “Estimate for” on the Cart/Basket page.

This shows just below the shipping rates as seen below,

If you don’t want to show it on your page, simply add the CSS snippet below to your theme’s stylesheet.

/*Hide estimate shipping text on cart page*/
.woocommerce-shipping-destination {
display: none;

Last tested on WooCommerce Version 3.5.7

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