I have a small white bump on my gums, on the inside right below my bottom middle teeth (seemingly touching). It feels as if it is pushing my tooth a bit; a mild dull ache... Any ideas? It has been a consistent ache for a few days so far.

Fistula, See DDS. Fistula is a sign that there is an infection and your body is draining it out. Unlike some other types of infection, a dental chronic abscess will not get better on its own. See your dentist for diagnosis, x-ray and treatment.
See your Dentist. May be an infection, a neoplasm, or another lesion. See your Dentist for definitive diagnosis and treatment.