This article explores an example of person-centred care: the work of so-called renal care coordinators. The empirical basis of the article consists of qualitative interviews with renal care coordinators, alongside participant observations of their patient interactions. During the analyses of the empirical material, I found that one of the coordinators’ most fundamental ambitions is to get to know who the patient is. This is also a central tenet of person-centred care. The aim of the article is not only to argue for the plausibility of this tenet, but also, and more importantly, to highlight and explore its implications in the context of healthcare, through the example of renal care coordination. By drawing on the philosophy of Hannah Arendt, the article shows that the disclosure of who the patient is that takes place in person-centred care requires speech and action, which are modes of human activity that initiate processes characterized by unpredictability, uncertainty, and irreversibility. This unpredictability, uncertainty, and irreversibility, found to be inherent in person-centred care, is then discussed in relation to the pursuit of certainty characterizing contemporary evidence-based medicine. At the end of the article the conclusion is drawn that, if healthcare is to be person-centred, it must find ways of accommodating the contradictory pursuits of certainty and uncertainty found in evidence-based medicine and person-centred care respectively.