Final answer:
The oxygen diffusion rate does not directly influence animal heat exchange; it is more related to cellular respiratory processes.
Step-by-step explanation:
The factor that does not influence animal heat exchange among the given options is A) oxygen diffusion rate. Animal heat exchange is primarily affected by factors related to insulation, such as the conductivity of fat, the movement of blood to the body's surface, and the thickness of the fat layer, which can act as an insulator. Oxygen diffusion rate is more relevant to cellular respiration and the uptake of oxygen by tissues rather than directly to thermal regulation.