Generate an anthropomorphic image featuring an original, unbranded character in the guise of a small horse with wings and a magical horn (commonly referred to as an 'alicorn'). This character should bear a light red and pink mane that cascades down in a long, flowing style, contrasted by a compact tail in the same colors. The character's eyes should be a light shade of pink, full of detail and beauty, set against a body of dark red or magenta. The horse should be adorned with a magenta crown and dress, a testament to its regal appearance. In one hoof, the character is holding a badminton racket, showcasing its fun-loving side. On its head, it wears a cap, through a hole of which a ponytail emerges. The aesthetic of this picture should evoke feelings of sweetness and delight, all rendered in a digital art style.