The snorting gave me a pretty straight line of travel to follow and I hit all the trail forks.
I've never known a deer that was "hit" to snort or neccesarily stay on "the trail"
If the deer was hit hard enough that she was moving slowly and coughing up blood surely some blood would have been found
Any way after 3 hours of trailing no arrow no blood and no sign.
Hopefully, you never hit that deer. It would have probably been best not to shoot (after the first two times) until you made sure your equipment was again functioning properly on a non-living target.