I feel you! We don't watch the news here, and I only share carefully selected news articles. We do listen to our local NPR station, which is usually a safer source, although you'd still have to listen with her and use your judgement on whether a particular segment is appropriate or not.

Commonsense Media can be helpful in selecting kid appropriate sources. I don't have experience with any of these, but it's where I'd start looking: https://www.commonsensemedia.org/lists/best-news-sources-for-kids