Derailed

It's been so long since you started bleeding that the blood seems to have dried. If you were to get infected, it would already have happened, and removing the dried blood would just open the wound up for further infection. You can hold off on cleaning up until you get to a safer area. Meanwhile, since the screams are all coming from the same place, you can use them as a landmark of sorts; so long as you're always moving away from the screams, you don't have to worry about going in circles and will inevitably find your way out of the forest eventually.