In order to remove the shopping cart icon in the main menu, you can follow the steps below:
Step 1:
You can simply deactivate the WooCommerce plugin and the icon won't be visible anymore. Please go to Dashboard > Installed plugins:
Step 2:
In case you are going to use the shop functionality, then please add the code below to the Custom CSS area:
header.main-header.layout-logo-menu .cart-dropdown { display: none; }
Here's a guide: How to add custom CSS / PHP code or modify the theme code - Hair Beauty Theme
Step 3:
You can also hide the shopping cart icon on lower resolutions (mobile view) - please go to Mega Menu > General Settings > VamTam Additions > Enable WooCommerce Cart in Mobile Header