A free and open press is a critical piece of the civil-society infrastructure that supports both established and emerging democracies. However, as the professional activities of reporting and publishing are increasingly conducted by digital means, computer security and privacy risks threaten free and independent journalism around the globe. Through interviews with 15 practicing journalists and 14 organizational stakeholders (supervising editors and technologists), we reveal the distinct - and sometimes conflicting-computer security concerns and priorities of different stakeholder groups within journalistic institutions, as well as unique issues in journalism compared to other types of organizations. As these concerns have not been deeply studied by those designing computer security practices or technologies that may benefit journalism, this research offers insight into some of the practical and cultural constraints that can limit the computer security and privacy practices of the journalism community as a whole. Based on these findings, we suggest paths for future research and development that can bridge these gaps through new tools and practices.