A couple of drops of SSKI as a topical will take care of infection, even if it lies well beneath the surface.
If I understand correctly from your post it hasn't fully emerged, I can relate my experience when a poor college student. I had a wisdom tooth that was begining to emerge and kept getting infected when I'd accidentally bite with it during eating. Dentists' offices rejected my inquiries on having it simply incised so that food wouldn't get trapped under the gum. It got badly infected to where it was 'numb' with pain. So, I took a double edged razor blade, broke it, sterilized it, and sliced along the crown of the tooth. I then packed it with salt several times a day using a broken toothpick. The salt ate away the excess gum and once exposed, the problem was rectified.
Not saying you should do this, especially if it is coming in at an angle, but salt is a way to both lower infection and remove gum. The SSKI will definitely heal gum disease in general to the point of closing pockets within a very narrow time frame.