Wrist hurts - could it be broken?

About a week ago, I slipped pretty badly on some ice. I was pretty sore, but everything went away – except the wrist pain. Now, there’s no visible discoloration, no swelling (although a friend disagrees, but I can’t see it), and no loss of mobility. However, it’s definitely a different pain than a soft tissue thing. It only hurts when I move it at certain angles, or put pressure on it (like holding my books, steering with that hand, etc). Do I need to make an appointment to see my doctor, or is this something that time and a little ice (and a little whiskey) will solve?