What is the ruling on visiting relatives who play music on the television, while disliking the music in one's heart and attempting to denounce it verbally?

You must condemn forbidden acts among your relatives, such as listening to music, watching forbidden movies, and the impermissible mixing of men with foreign women. It is not permissible to refrain from condemning out of shyness towards people. If the visit leads to corruption in your religion or exposes you to temptation, then you are not obliged to visit them, and it suffices to maintain ties with them to the extent free from corruption.