The phrase "they'd stand flat-footed" suggests that the townspeople would not be impressed by her fashionable ways. (option A)
The meaning of "stand flat-footed"
The phrase we are analyzing here was taken from a text in which the speaker talks about going to Eatonville to learn about African-American folklore. She says the the townspeople would "stand flat-footed."
By that, the speaker means that they would not be impressed by her fashionable ways. Most likely, these are people who are quite happy and comfortable living the way they do, and who do not care about superficial things and appearances.
With the information above in mind, we can choose option A as the best answer. To "stand flat-footed" suggests not being impressed.
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