Based off the arrow location and the lack of penetration, I would say she will live. Deer are tough and if that arrow did not penetrate the shoulder bone then I think she will make it. Was she limping badly as she ran away, or was she running on all 4 legs? If you were elevated, I am not surprised with the lack of blood as there was no pass-through. I have seen the pictures from processors showing broadheads embedded in shoulder bones. Always and area I try and miss when shooting.

I have shot both fixed and mech's. I believe shot location is the key. I am not going to say if you would have a fixed blade the deer would be dead or vice verca. You said you would take the shot again. Good! Then Chalk this one up to buck fever, Murphy's law, etc... Stay confident in your equipment and your shooting ability.

You did everything you could to find the animal and I think she lived. Go get her later in the season. Good Luck!