Final answer:
A graduate nurse should accept the job at the long-term care facility to gain experience and grow professionally, which can later enhance opportunities to work in the desired obstetrics unit.
Step-by-step explanation:
The graduate's best action when offered a job caring for older residents, although their preference is to work on an obstetrics unit, would be to accept the job and turn it into an opportunity to gain valuable experience. This choice aligns closely with option B and D provided in the question. Accepting the position in the long-term care facility helps the new nurse to build foundational nursing skills, accumulate professional experience, and potentially understand the wider spectrum of patient care needs. It would also demonstrate adaptability and willingness to start somewhere and grow within the nursing profession. Despite this being a deviation from their desired specialty, a position in a long-term care facility can enhance the nurse's resume and provide practical patient care experience which is beneficial for any nursing specialization.