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.