Ben I agree on one lung. I am gonna go out in a bit and try to find her. If it was cooler out I would let her sit for the night but Mid to high 50's and lots of yotes.
A few years back I took out 1 lung, and some guts on a doe. I waited an hour as I had seen her bed down and snuck up on her. She was still alive. My follow up shot then hit a twig and she stood up and ran off, acting very hurt. Rain came in heavy a few minutes later and I backed out. At 4:00 that afternoon me and my dad headed out looking for her. The rain had washed away all blood trail and right at 5:00 my dad spotted her in a small drainage, and very much still alive. This time my 2nd arrow found it's mark and she never moved. I shot her at 9:00 that morning, and she was still alive 8 hours later.
Hope she is still there this morning with no damage! Keep us posted! If I was near you I would help in search.
I have looked in every possible spot and can not find this deer. 24 years of bowhunting and this is my first lost deer. What a sick feeling. I have put 10 hours in looking. What a drag.
Sorry for your loss. I lost a doe last year and it stuck with me the rest of the season. The key is have a grievance period and then move on. Good luck. Oh one other thing. Did you try calling a local dog tracker? Even with the rain the dogs might be able to do something you can't.
I tend to get a bit nervous on any temps over 50 degrees. But, depending on the shot - and how early you start looking you could be OK. Good luck. And, congrats on the first deer of the season.