Well, you just denied that privilege exists, and were unable to recognize a sexist comment as sexist. That gives me plenty of entropy to make a strong guess about how privileged you are.
I didn't deny that privilege exists, I said that in the context of this accusation it is meaningless. And I was not unable to recognize a sexist comment as sexist, because it was not a sexist comment. You have no "entropy," you just have two misconceptions.
Well, you just denied that privilege exists, and were unable to recognize a sexist comment as sexist. That gives me plenty of entropy to make a strong guess about how privileged you are.