Ball python swollen neck

[Bogertophis]

Well that's the direction a vet will most likely take it out being so close to the mouth. YouTube has videos of things being pulled out of snakes.

Yes, with the snake being properly restrained & anesthetized for safety, the only possible direction to remove this "object" is back up the throat & through the mouth.

However, we do not advocate "do-it-yourself" medical care here based on what you find on YouTube- it's unethical & dangerous. The OP should get help from a vet for this snake.