Heart transplant (HTx) is an established therapy for advanced heart disease that restores quality of life and improves survival. However, due to preexisting comorbidities combined with the immunosuppressive therapies required after transplantation, HTx recipients remain at high risk for kidney, cardiovascular (CV), and metabolic disease. Large randomized clinical trials have recently shown that sodium-glucose cotransporter 2 inhibitors (SGLT2i) have potent kidney protective and CV benefits in many populations of patients with chronic kidney disease (CKD), CV disease and/or diabetes. SGLT2i have not been studied prospectively in HTx recipients, which represents a barrier to their use in this population. In this multicenter randomized controlled trial in Veterans with HTx, investigators will evaluate the potential benefits of empagliflozin on kidney function, cardiometabolic risk, erythropoiesis, and functional status. A total of 200 Veterans will be randomly assigned to receive either empagliflozin 10 mg daily or a matching placebo for 12 months.