An adhesive ostomy wafer has a liner removed to expose adhesive and thus ready the adhesive ostomy wafer for adhesion to a user. The adhesive ostomy wafer includes a backing layer providing a distal surface of the adhesive ostomy wafer that is oriented to face away from skin of the user during use, an adhesive layer deposited onto the backing layer, with the adhesive layer providing a proximal surface of the adhesive ostomy wafer, an opening formed through the backing layer and the adhesive layer, with the opening adapted to fit around a stoma of the user, and a reinforcement structure located between the distal surface and the proximal surface of the adhesive ostomy wafer.