It could be a fistula which is a tract that travels from a potential abscess site to the gum area. If that's the case and you can't see a doctor immediately, you can try to obtain some antibiotics to try to clear the infection temporarily until you can see a dentist you're comfortable with. It shouldn't swell up as long as the area is open and the pus can drain out. Try using a warm salt rinse to keep the area clean as well.
If it worsens though and it is a baby tooth, it may need to be removed.
One more bit of info on my problem....
The sore and swollen area is low on the gum and not near where the gum line. The area is small and does not have much color change though there may be a small amount of white...maybe.