I had one of the does I killed this year do exactly that, but in her case the arrow was a few inches high and cut her spine completely in half (Landshark head from ladder stand), cut the artery beneath, and caught the top of one lung.
She went directly down, of course, and gave a single, long bawl/groan. Seemed more like "HEY!, What was THAT!!" than anything else. Then she went to "sleep." I was surprised to hear the vocalization.
Hope your buck decided a "nap" is in order, too, and that your tracking job will be an easy one.
Daryl