Some dogs can handle extreme temperatures outdoors. Boxers are not one of them. I know you have gotten a lot of input here regarding this issue. Even if you have a safe outdoor environment for your golden, she no doubt needs companionship. Dogs naturally live in packs, and when they live in your house with you, your family is their pack. Boxers are also extremely sociable, and very needy in terms of human interaction. Ours even get sad and confused if we don't let them in the bathroom with us!
Our Niko once got accidently left out for much of a cold night by an irresponsible roommate of my husband's. He was very traumatized by that event- about 4 years ago. Since then, when he would get let out to pee, he would go out only far enough to pee, and then immediately run back inside, even with our other dogs in the yard with him, and even in the summer. He could no longer enjoy the outdoors unless there was a person outside with him. It is only within the last 9 months or so that he has begun to hang out outside for about 5 minutes at a time.
One other warning story I would like to share- in regards to dogs that can handle the weather. I don't know how much snow you get in Ohio, but it is a possible danger. I couldn't find the actual story right now to verify details, but it was about some men in a remote area (I think they might have been military, or scientists, or something) with some huskies or malamutes- they may have been sled dogs. One of the men felt bad about the cold and let one of the dogs in the tent/hut to warm up for a while before going back out for the night. Well, in the morning that dog had died, because the snow drifted over him, and the extra heat he had from being inside made it melt. Then it refroze into ice, covering his nose and suffocating him. The other dogs were fine, because they had been outside the whole time. The organization these men were with then made a rule that the dogs were not allowed inside at any time, because it was cruelty to animals.
Basically, the gist of the story being, there are times that certain dogs can be outside dogs, if they are in a pack. They should in that case be exclusively outside or they should be inside dogs. Boxers cannot at any time be an outside dog. I feel bad for your dog to be exclusively outside, by herself. For a pet, it is hard to get anywhere near the amount of attention and affection living outside as it is inside. If your boxer is an inside dog, and your golden is not allowed to be inside, it would also be possible for her to develop jealousy/aggression towards him for getting treated differently/being given a higher place in the family.