Final answer:
The ethical principle that directly relates to the responsibility of providing services that respect an individual's dignity and uniqueness is autonomy, which emphasizes self-determination and individual agency in healthcare.
Step-by-step explanation:
The responsibility to provide services that respect an individual's dignity and uniqueness relates most directly to the ethical principle of autonomy. The principle of autonomy states that in clinical settings, patients have a right to exercise agency or self-determination when it comes to making decisions about their own health care. This includes respecting their dignity and recognizing them as unique individuals with their own values and preferences. In contrast, the principle of beneficence is geared more towards acting in ways that benefit others. While privacy is also crucial, it is more about respecting an individual's confidential information than their dignity and uniqueness. Thus, autonomy is the ethical principle that most closely aligns with the responsibility to respect dignity and uniqueness.