What term describes being judicious with regard to respecting privacy?

The term that accurately describes being judicious with regard to respecting privacy is "discreet." This term refers to the ability to handle sensitive information carefully and responsibly, ensuring confidentiality and privacy are maintained. In the context of law enforcement and other professions that deal with personal data, being discreet is crucial to protect individuals' rights and personal information.

While the other terms might have their own meanings, they do not convey the same sense of carefulness associated with respecting privacy. "Discrete" usually refers to something that is separate or distinct, "diligent" pertains more to showing care and effort in one's work, and "dislocated" describes something that has been moved from its proper place. Therefore, "discreet" is the appropriate choice as it directly relates to the careful and judicious handling of private matters.