Retouch vs Color correction
Color correction includes basic adjustments: correcting color temperature and exposure if needed and adjusting the overall colors.
Retouch includes much more detailed work with the picture: working with colors on each area separately, skin retouching, getting rid of the objects that create noise in the picture, adjusting light and shadow, etc.
A few examples below show the difference between original vs color-corrected pictures and color-corrected vs retouched pictures.