Question

solid bone branching out from the animals skull which sheds annually; antlers; taxonomy; carnivore; mammalia

Explanation:

The description "solid bone branching out from the animal's skull which sheds annually" matches the defining trait of antlers, which are bony growths found on certain mammals (typically deer species) that are shed and regrown each year. Taxonomy is the science of classification, Mammalia is the class of mammals, and Carnivore is an order of meat-eating mammals, none of which fit the physical trait description.

Answer:

Antlers