What is the validity of the Christian websites' accusations regarding "the tragedy of the gecko in Islam" and how can they be refuted?

The aforementioned article is by a sophist who lacks academic integrity, as he claimed that killing geckos is mentioned in the Quran and that whoever does so is a disbeliever or polytheist, which is a fabrication. The Prophet, peace and blessings be upon him, linguistically called it "fuwaysiqan" (a small transgressor), meaning it deviates from its like by increasing harm, not in the jurisprudential sense of transgression. Killing it is permissible due to its harm and because it blew on the fire against Abraham, peace be upon him. The gecko's skin does not prevent the truthfulness of the report, for Allah is capable of making it withstand fire. The generalization of the ruling to the entire genus of geckos came in honor of Abraham. The author is advised to look into his distorted religion instead of questioning the rulings of Islam.