A good binocular is the most critical basic hunting tool. More than in guns, there are reasons why one binocular costs $500, and another binocular of the same magnification costs four times more. Mind you, there is a lot of very good medium-priced glass. As you get into the rarified air of the best premium brands, the differences become harder to see. However, in light transmission and edge-to-edge clarity, the differences are there. But, realistically, depending on your needs, you may not readily see the difference. There's a lot of really good medium-priced glass that, honestly, will do the job for most of us, under most circumstances.
We all have budgets, and life is full of compromises. Glassing knows no closed season, so the binocular is a tool that can be used to enjoy wildlife year-‘round. Most rifles shoot better than the people who own them. However, you can't utilize that accuracy unless you can see what you're shooting at. So, when compromises are needed, spring for a cheaper rifle and put a better riflescope on it. Then go a step farther: Get a medium-quality riflescope, and invest in the best-quality binocular you can afford.
It's not just that you'll use the binocular more. Good binoculars gather more light than any riflescope. When the light is going fast and a buck walks out, you can see the rack clearly through a quality binocular, count the points, and make a decision. It's not necessary to count points through your riflescope. Make that decision through the binocular and reach for the rifle.
All you need to see is enough of the shoulder to place the shot. It doesn't take the brightest scope, and in most places, not even the most accurate rifle. It's the binocular that makes the call, so get the best you can afford.