Maybe try another newspaper that doesn’t have readers write. how about Hamodia? There are a lot of articles she would enjoy in it and are more age appropriate. If she does read the yated at a friend’s house, than be open and prepared to speak with her about the issues, it is an opportunity for you to discuss and connect with your daughter, she is getting to the age where it is almost impossible to shelter them. but you can tell her how you feel about things. She is young and will respect how you feel about it.
My husband calls the readers write a “slow blog” people write in all sorts of nonsence anonymously, we laugh at some of these letters!