She doesn’t need to demonstrate her superiority—she simply is.
Me, personally—I would have been happy with either course of action. The first because your obedience would please me, the latter because I get an opportunity to punish you for your misstep… miscrawl as it were… and I enjoy punishment. It sounds to me that she was testing you.
I will admit I do enjoy assigning an impossible task and punishing you for failing to accomplish it 😇