In many European countries, semi-autonomous agencies have been created in health policy to safeguard general public interests. In executing their tasks, these agencies need to deal with conflicting expectations. Particularly avoiding the risk of regulatory capture and aligning with parent ministries are frequently studied challenges, even more so when complex issues such as scarcity are at stake. In this paper, we use q-methodology to provide a thorough overview of the debate regarding the role of an important agency in the Dutch healthcare system; the National Health Care Institute (Zorginstituut Nederland). We conducted 41 q-interviews with agency employees, evaluators, regulatees, ministry employees, health policy experts, members of its advisory committees, and peer agencies. We identify three viewpoints on what the agency should focus on. These are on societally relevant issues, strict package management, and efficient organisation of care. In doing so, our study shows how agencies are pulled in different directions by conflicting expectations. We show that this can be problematic because it complicates a clear role of the agency that allows addressing such issues. We thereby contribute to theories on agencies' complex relations with their external environment such as regulatory capture, tripartism, reflexive regulation, legal boundaries, and stewardship theory.