Herein provided is a new wheat cultivar designated ‘GA 04434-11E44’ as well as the seeds, plants and derivatives of the new wheat variety ‘GA 04434-11E44’ (such as cultivars and hybrids related thereto). This cultivar is a high grain yielding, medium-late maturing, good test weight, short height line that has good resistance to races of leaf rust and stripe rust in Georgia and the Southeast, powdery mildew, and wheat soil-borne mosaic virus. Also provided are tissue cultures of the new wheat variety ‘GA 04434-11E44’ and the plants regenerated therefrom. Methods for producing wheat plants by crossing the new wheat variety ‘GA 04434-11E44’ with itself or another wheat variety and plants produced by such methods are also provided.