This is something an old hunter, who taught me how to still-hunt told me. It's helped me be successful in SEEING game. Hopefully it will do the same for you.....
You need a change of mindset, a total mind transformation once you enter the woods. You must now be an equal part of the surroundings. Act, move, and think like you you belong there. Like the trees, and animals. Everything is moving slowly and gracefully. Taking time to examine everything around you. Chipmunks, Squirrels, birds and mammals. You should be able to see and be aware of and UNDERSTAND everything that is happening around you. Remember you are a part of the surroundings, you belong there. You are a tree, a squirrel, a bird, a deer. Do not play the role of predator. At this point you are not. You are just a normal part of the woods, and the other creatures perceive you as that. This attitude will enable you to be in tune with all creatures. Get within a sensible range. After this has occurred, then you gently nock an arrow, pick a spot, concentrate and release. But only if you are so lucky to have the opportunity. Remember you are the woods. You are not a killer. You are a woodsman. And a woodsman does not kill, he provides using his skills. Providing is a bonus. Time in the field being one with your surroundings is the real prize. Cheers! My brothers and sisters.