Swelling and pain around the joint on my index finger. It has lasted for two months. No change it is either double or triple the size of other finger?

See Rheumatologist. Sometimes single joint Inflammation may be caused by a disorder that characteristically causes polyarticular pain like psoriatic arthritis or rheumatoid arthritis. See a rheumatologist to rule out infection, also definitive diagnosis and treatment.
Orthopedic Surgeon. Get to the Orthopedic Surgeon right away. 2 months is way too long to wait. You may have a shattered (jammed) joint, arthritis, or Lyme disease. Get there or at least to your MD ASAP. Good Luck.