One of the most obvious ways in which to ensure impartiality in a health care system is to require impartiality of all actors in the system, i.e. to give health care professionals a duty to treat everyone impartially and to deny them the ‘right’ to give their patients preferential treatment. And one of the possible side-effects of allowing individual health care professionals to give preference to ‘their clients’ is to create inequality in health care. This paper explores the conflict and proposes that it can be right to give preference to ‘your’ patients in certain circumstances.