The Lady, or the Tiger?

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Across
  1. 1. to obtain by effort
  2. 5. excessively showy
  3. 6. brutal
  4. 9. doors
  5. 10. singers in a choir
  6. 11. full of sadness
Down
  1. 2. to come out from
  2. 3. bright
  3. 4. least
  4. 7. desire
  5. 8. arrogant