Thumb was over extended a month ago tearing feeling swelling and pain still persist with no relief. what should i do?

If it’s been a month you should see an orthopedic doctor who specializes in hands since you need to be evaluated for a torn ligament.

Thumb ligament injuries are common given the mechanism of injury that you have described. You should see a hand surgeon. The thumb is critical to hand function and the long-term consequences of ligament injuries to the thumb can be substantial.