To me, there's no pain worse than a sprained ankle. I've never had a broken ankle, but I've had some really bad sprains before. For whatever reason, one ER doctor didn't agree with the standard sore ankle treatment. He taped up my sore foot and ankle with an elastic bandage and gave me a prescription for a strong painkiller, but he didn't recommend soaking the swollen ankle in ice.
He suggested I keep it elevated when I got home, then try a hot soaking bath a few hours later. I did what he said and I did get a lot of relief. I still don't know why he didn't recommend packing the sore ankle joint in ice, but I suspect he was concerned about tissue damage or something. Some people may leave their foot in an ice bath too long by mistake and cause more damage later.