Process: providing concentrated milk composition including milk protein providing plant fat composition including plant fat combining first amount of concentrated milk composition together with second amount of plant fat composition, forming concentrated milk-plant fat composition having initial pH and having concentration by weight of water being within range of between about 49% and about 57% combining concentrated milk-plant fat composition together with amount of edible acid, and directly setting concentrated milk-plant fat composition by adjusting initial pH to reduced pH being within range of between about 4.9 and about 4.5 thereby forming uniform non-separating direct-set milk-plant fat product substantially retaining the milk protein. Process also includes providing concentrated milk composition and plant fat composition respectively at first and second temperatures being at least about 20° F. above melting points of respective compositions. Composition: uniform non-separating direct-set milk-plant fat product.