During landing, the pilot noticed two deer to the left of the runway. One deer ran across the runway and was struck by the airplane’s left wingtip. The impact caused the airplane to veer to the left off the runway and onto the grass median. The pilot raised the flaps, then applied right brake/rudder and full power in an attempt to go around. The airplane lifted off momentarily but then struck a runway light. The airplane traveled across the runway into an open field and stopped. Both wings sustained leading edge damage, the nose gear was sheared off and the lower engine cowling was crushed.