From what you have said here I would say that if he rests the wound will eventually clot up and he will survive it. You have probably encountered places where it looks like he rolled around on it trying to sooth it by packing it shut. This is of course only a guess based on what you have stated. I don't have the evidence you have, ie blood amount, sighting, arrow...etc.

By your account no vitals have been hit and therefore the only way the deer will die is to bleed out. Now we are talking a significant amount of blood loss needed here, so keep in mind that a running deer has 3 times the heart rate of a bedded one. Where I hunt though, I would run the deer off the property I have permission on before it would likely bleed out. The question of where the broadhead is can be both a plus and a minus either way and may not help. If it is still in there it can continue to agrivate the wound, but deer have been found with wounds that have healed OVER broadheads. If it is dislodged then the wound tract will be open and may flow more profusely, but if he gets it packed shut...... well you know.

Also consider that if the arrow has punctured a cavity you won't find as much blood because some of it is filling in said cavity instead of actually pooring out of the wound. This is why some people find deer they have shot even though the blood trail wasn't that good. From what you have said though, the arrow was forward and shallow penitration, this does not seem likely to be the case.

As I see it you either have to keep pushing the deer to promote bleed out, or let it completely alone and hope you get another shot at it later this season or next year. It is up to you to decide which is the more appropriate action and the most humane.

Anyway, that is my 2 cents worth. I hope it helps.