Well, a couple things. First, not bragging just trying to put this in perspective. I have killed 100 or so big game animals including bear, deer, and elk with a 70 pound compound shooting aluminium arrows weighing 510 grains and can count on one hand the number of animals that wre not complete pass thrus. The kind you dig outta the ground. I have only been trad hunting for 2 years and have shot 6 deer. 3 were complete pass thrus, 2 poked thru the other side, one hit the shoulde ridge any never penetated. So ou mileage truly diffes on that.
I also have shot deer that autopsy showed shouldn't have run that far or lived that long, but they did. It happens sometimes. You did the right thing to get your deer. I have seen mortally hit deer get up and turn an easy kill into a nightmare. So hanging tight was the right thing. There is no script and sometimes it ain't pretty. Thinking with your heart to do the noble thing can lead to bad things in this situation. But, you know that because you didn't do it.
Congrats on your first trad deer. God Bless