Step 1: A Roth spot is identified as a retinal bleed with a distinctive white or pale core, named after Moritz Roth.
Step 2: That central whiteness represents fibrin and platelet clot, focal ischaemia, inflammatory or infectious material, or, in malignancy, collections of tumour cells.
Step 3: The classic systemic associations are leukaemia and infective (subacute bacterial) endocarditis, along with diabetes, severe anaemia, hypertension and other ischaemic states.
Step 4: Uveal melanoma is not a cause of Roth spots, so between the two listed entities the correct one is acute leukaemia.
\[\boxed{\text{Acute leukaemia}}\]