The answer may surprise you.
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A survey outfit called Brand Keys periodically measures a “Customer Loyalty and Engagement Index” that examines 1,287 brands across 150 categories to determine how much “trust” contributed to each brand’s engagement and market success.
For TV “brands”, 4,012 viewers rated broadcast and cable brands that they regularly watch to determine how much trust those brands engendered. Source
The tightly bunched “most trusted TV brands” at the top of the list are the BBC, Fox News and PBS.
Bloomberg and MSNBC fall in the middle of the pack.
The bottom of the pack are the Big 3 networks and CNN.
Hmmm.
What about ratings?