Heat the olive oil in a large skillet over medium-high heat. Add the sausage and cook to brown, then crumble. Add the apples, potato, anaheim pepper, and onion, season with salt and pepper and the thyme. Cook stirring frequently for 20 minutes. Deglaze the pan with the juice and stir to evaporate.
Cook the eggs any style. Place 2 on each portion of hash. Serve with toast slathered with the honey butter mixture. Enjoy!