In the last four days, I've had an absolutely enormous swelling on my gum - until finally it was about the size of a golf ball, and very painful because stretching the skin. Among the zillion things I tried was some turmeric and water over the gum, which didn't do much, probably because I left it there only half an hour, and the gum was so distorted by that point that it wouldn't really stay on. I also tried lancing it, to no effect, and assumed most of the swelling was inflammation.
Finally, earlier this evening and very miserable, I jumped in a bath with 5 or so heaped tablespoons of turmeric, more to warm myself up than anything. It felt great, and shortly afterwards, the whole thing burst - absurd amounts of pus came out and my face is now back to normal.
I'm not assuming the infection is necessarily completely gone, and I'll be doing a few other things to make sure all is well. But the relief is incredible - pain has stopped completely - and I thought it was interesting that a load of turmeric applied to just about everywhere except my gum seemed to be the thing needed to help my body eject the worst of the infection. A turmeric bath is where I'll start if I get something like this again.