Is it permissible to go to places where music and songs are prevalent, while disliking them in one's heart, and is the one who does so sinful?

Visiting markets is permissible when there is a need. If there are reprehensible acts, one should condemn them to the best of their ability. If condemning them becomes difficult, then there is no obligation. It is preferable to avoid frequenting places that are not free of reprehensible acts, especially when there is no need.