If there are a lot of coyotes in your area, and where aren't there these days, a coyote call does a pretty good job of spooking deer away without giving your location away. Just blow it away from them and down towards the ground.

I've been pinned in a tree before by a big doe on a couple of occasions. I just wait till it's good and dark and she's at least 40 or 50 yards away. I sneak down and put my green light on. I've walked right past them and out on a couple of occasions. I'm told that deer are used to things passing by them in the dark and they'll just sit still until whatever it is is gone.