Responding to the call by Maria Puig de la Bellacasa for Science and Technology Studies to take up 'matters of care', this article cautions against equating care with positive feelings and, in contrast, argues for the importance of grappling with the non-innocent histories in which the politics of care already circulates, particularly in transnational couplings of feminism and health. The article highlights these histories by tracing multiple versions of the politics of care in a select set of feminist engagements with the pap smear and cervical cancer. Drawing on postcolonial and indigenous feminist commitments, as well as amplifying Donna Haraway's call to 'stay with the trouble', the article seeks to disturb hegemonic histories and arrangements of race, colonialism, and political economy, while simultaneously valuing divergent multi-local itineraries as relevant to technoscientific matters of care. This call for a politics of 'unsettling' care strives to stir up and put into motion what is sedimented, while embracing the generativity of discomfort, critique, and non-innocence.