The term 'BRANCH IN A TROPHY ROOM' can be solved by the crossword solutions of 'ANTLER' (6 letters) and 'ARM' (3 letters). Antlers are the bony, branched structures that grow on the heads of certain animals, such as deer, elk, and moose. They are often used in trophy rooms to decorate the walls or to create a rustic atmosphere. An ARM is a limb of the human body that is used for grasping and manipulating objects. It is also commonly used in trophy rooms to display awards and trophies.