A friend of mine took a doe last year with a quartering-to shot like you described. We found the arrow in the dark because I smelled it before I saw it. It was covered with stomach matter. We were not enthused, but continued to follow the meager blood trail. Turns out the deer dropped with 50 yards, the arrow hit the on-side right behind the shoulder and exited the opposite side behind the paunch. The arrow took out lung, liver and paunch. The arrow was coevered with stomach matter because that's where it exited. The blood trail was meager because the wound was filled with stomach contents.
If what you saw was true, you may not have gotten the bad shot you thought you did. Sounds to me like you may have a dead deer nearby but gave up and panicked becasue you had shoddy flashlights. Get out there and find your deer this afternoon.