Hi,
Create a HikaShop products listing menu item in a hidden menu via the Joomla menu manager and configure it to display the products of that category in the order you want thanks to the "ordering column" and "ordering direction" settings, under the "products options" tab of the menu item.
Then, enter the URL of that menu item in the "canonical URL" setting of the category, and activate the "force canonical URLs on listings" setting of the HikaShop configuration, if not already done. That way, the URL of the category in the HikaShop content module you have on your right sidebar, or anywhere else a category listing is displayed with that category in it will use the canonical URL instead of the dynamically generated link and thus the products will be ordered differently only for that category.