This is another example three elements working along the third lines. Note that the lines fall along the spines of the animals giving the picture a direction. In this case it was not possible to set the heads on the intersection points, but they could be organized in a balanced way around those third points as was done here.
This was taken at sunset, and the light was very dim. That is why this photo is soft. This technical problem is overcome by the power of the composition and this apparent "deer family" picture.
This illustrates another point as well. People attribute emotions to animals that animals themselves do not have. At the time of year this was taken, whitetail bucks form herds separated from the does and fawns. Interest in the does will return with the rut, but that was months away. This is really not a family, but it is an oddball buck that follows the does.
This illustrates another basic principle. Photos are not emotional, they elicit emotions. Many times these emotions really have no basis in reality. Perhaps that is the better part of artistic expression.