Is it permissible for heretical or musical websites to benefit from the free survey service provided by my site, from which I financially benefit through integrated advertisements?

If you know or strongly believe that the data requester will use the data for an unlawful purpose, it is not permissible to enable him to access it, lest you be an aid to him in sin, based on the Almighty’s saying: "And do not cooperate in sin and aggression." However, if the data could be used for both lawful and unlawful purposes, and you do not know his intention, there is no sin upon you for enabling him to access it, and the sin is on him if he uses it for an unlawful purpose. It must be noted that some corrupt websites (such as music sites) are not permissible to deal with or enable them to access data, if they can be blocked, because they are purely for evil and spreading corruption.