As soon as your at the top of the first rock climbing hill that you have to get past there will be a bear that roars in your face ( you'll have to kill it later) brace yourself, it scared the crap outta me.
When your battling the bear after you kill the prize deer be sure to shoot it around the neck area. this will only take a few shots so you can kill it easily, also dont worry about dodging it, your hunter will roll out of the way.