You have an interesting scenario. The policy doesn't define "falling object," and in such situations it is customary to go to a standard desk reference. Merriam Webster Online defines "object" as "something material that may be perceived by the senses." Using this definition, the deer can be considered an object.

 "Fall" is defined as "to descend freely by the force of gravity, or to leave an erect position suddenly and involuntarily." This is where it becomes difficult; was the deer falling or jumping? "Jump" is defined as "to spring into the air: leap, especially to spring free from the ground or other base by the muscular action of feet and legs."

 It sounds like the deer truly jumped through the window, versus tripping over a chair on the patio and falling, although what really happened is a matter of fact. Therefore, if the deer jumped through the window, there is no coverage under the policy. Jumping animals are not a covered peril.