Yeah, quit kicking trolleys.... go purchase a toe splint, I had to put one on me daughter last year. Your Big Toe is like your thumb once you injure it, it takes time to heal because your always using it. Your big toe is your balance.
You need to see a podiatrist to have it evaluated. The redness suggests infection (not certain, but possible), and this can easily establish itself in the bone, and from there you will develop osteomyelitis, and may end up with a toe or foot amputation. This problem is worse with those who have insulin utilization problems (diabetes). Toe infections are not to be treated lightly. At a minimum you require an x-ray, and a professional look-see. Podiatrists are the best in this situation. At the least you will be prescribed a shoe without a toe and told to wear fresh clean white socks every day and keep the foot dry. If you have to use a bath, keep immersion at a minimum.
Bind the toe next to the one beside it , making a toe splint,you may have a fracture and thats all they did for me ..the swelling will go down