Depends on temp and how long it took you to find and dress it. Remember you have a responsibility to recover the deer whether you think it may have gone south or not!
A friend recently returned from a hunt in Minnesota where another party had put arrows in 3 animals and only recovered one of them. He found one of there bucks bloated within feet of the main trail leading to camp. In my opinion you arrow a deer that's your deer for the season, period!
Please disregard if you behaved responsibly and recovered your deer as soon as you could, there is a good chance I'm misreading the reason behind you post, if so my apologies I've just seen way to much unethical behavior in the field lately.