Is this racism?

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what about this makes the woman "weak minded"? what about this should be her fault?

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The fact that she got uncomfortable. When someone asks "Do you have a problem with white people" anyone without issues would say "No, why should I?" or something similar. If you asked the same question about Brazilians, native Africans, or Asians, I'm quite sure she'd react differently. So she probably has racial issues regarding whites, or else an inability to act assertively when someone asks about her beliefs. Either makes her weak minded.