Final answer:
The answer to which option is not part of the American Psychiatric Association's ethics guidelines is E. Psychiatrists do not have an obligation to participate in executions.
Step-by-step explanation:
The option that is not part of the ethics guidelines of the American Psychiatric Association is E. Psychiatrists have an obligation to participate in executions. The American Psychiatric Association, along with other medical associations such as the American Medical Association, opposes the involvement of physicians in executions due to the ethical principle of do no harm, which is fundamentally at odds with the act of deliberately ending a life. Other options, such as not accepting commissions for referrals, abstaining from sexual relations with patients, reporting unethical behavior, and providing adequate notice before retirement, are indeed part of the ethical guidelines that psychiatrists are expected to follow.