Should frum children be permitted to have a library card or go to the public library unsupervised as to what reading material they choose?
Of course, it depends on the age of the child. Young children should be guided by their parents as to what to read. As they get older, they should be allowed to become more independent (in stages).
I’m not going to say that “At X years they should be allowed this much freedom and at Y years that much” because it’s dependent on the child. Every child is different.
Of course, you could completely eliminate the word “frum” from the question and I would recognize it as just as valid a question and give you the same answer.
The Wolf