Herein provided is a new wheat cultivar designated ‘GA 04570-10E46’ as well as the seeds, plants and derivatives of the new wheat variety ‘GA 04570-10E46’ (such as cultivars and hybrids related thereto). Also provided are tissue cultures of the new wheat variety ‘GA 04570-10E46’ and the plants regenerated therefrom. Methods for producing wheat plants by crossing the new wheat variety ‘GA 04570-10E46’ with itself or another wheat variety and plants produced by such methods are also provided.