Sometimes when dealing with scenes of very high contrast and dynamic range, underexposing can help silhouette your subject and make an otherwise busy or poorly lit scene take on a whole new shape. To better isolate the tree and eagle I used a 1000mm focal length which helped remove distracting elements and also helped with composing a simpler shot.

Canon 5D MarkIII 500f4L IS, 2Xtc f11 1/1500 ISO800