Could you please point out in detail exactly where the privilege is, other than you having customer-privilege?

Company hires someone for customer service to serve customers.

You are a customer. You and the hired person can't understand each other very easily. This leads to a sub-standard experience for the customer.

The company wants a good experience for the customer. If the person they hired can't deliver it, they may want to hire someone else.

(Good but slow interactions also cost Kroger: they need more people to deliver the same service. It costs you, too, in time: same service, longer engagement. This is one reason why it's helpful for efficiency to have a universal "proper" way to speak (language and dialect) that covers as many interactions as practical: it just makes everything faster and higher-reliability for everyone.)

This is all identical regardless of anyone's race or privilege. If you leave negative feedback, chances are low that they'll have any idea about your race (or, with a big chain like Kroger's, hers, at _that_ point).

If you had been the customer service representative and she had been the customer, you would have had to worry about whether you had adequately done your job.

Furthermore, I've had pretty close to the same encounter with a white teller at a bank (when the bank was doing a rate-your-experience thing). Employees responsible for good customer service are legitimately worried about being viewed as providing good customer service.

So...where exactly is anything other than customer privilege in play here? Maybe you have class privilege too, so you don't need to worry about anything so mundane as being fired from a relatively low-end job on the basis of insufficiently stellar customer service.

Of course we can imagine other factors that might make the situation unfairly serious for this customer service representative--factors that we know from studies to exist on average (but maybe or maybe not in this particular case).

Anyway, if looking at things through a racial lens here has made you more aware of a class privilege, great! Otherwise, I don't see where you're drawing the lesson from, except from what this experience induced you to remember and/or imagine.