Hi,
You're right, there is no "category delete" in HikaMarket.
To add it, you should update the type "market_acl" in order to create a new ACL for the "category/delete".
You also need a "toggleDelete" function in the HikaMarket category class, in the similar way than the function in the HikaMarket product class (but with code to delete the category and check the permissions).
Afterwards, you can add the delete icon in the category listing ; like the icon is displayed in the product listing.
I can add that feature request in HikaMarket for the next release ; it should not take very long but the category have special things to deal with.
Example: you do not want to vendor to delete their vendor root ; and you need to check the categories and products in the category you want to delete, in order to not create lost items.
So, the "toggleDelete" function in the category class is not as simple as the one in the product class.
Regards,