What is the ruling regarding a person contracting the disease of sodomy (whether as an active or passive participant), despite being known for righteousness, and how can one be rid of it if their soul secretly continues to desire it and they cannot escape it? Is cauterization by fire effective, and where on the body would it be applied?

The abomination of sodomy is among the gravest of sins. Whoever commits it must hasten to sincere repentance and regret their action. As for cauterization by fire, it is a treatment that the Prophet (peace and blessings be upon him) guided to, but whether it benefits someone afflicted with sodomy and the specific body part to be cauterized, that is something to be referred to medical professionals.