The term profile is a useful one that is hard to define. A psychological profile of someone refers to the array of psychological characteristics of that individual, along a given set of general characteristics. (for example, personality type, aggressiveness, selfishness, etc (making these up) )
The profile of a cliff face would refer to the contour or rock structure along the length or breadth of the face.
The nutritional profile would thus probably refer to the nutritional qualities of a food or diet over a measure of various possible qualities. So one quality would be protein amount, another might be carb amount, another might be how many complementary amino acids are present, another might be fat quality, etc.
So a good nutritional profile would describe a food or diet that was well rounded, healthy, and effective.