It’s possible to factually accurate with heavy bias, but since that would require selective reporting to enforce a single worldview I wouldn’t consider that “highly trustworthy”.
Consider the following hypothetical headlines:
“Teen Killed by Islamic Group During Shooting”
“Terrorist Shooting at Mosque, 20 Dead”
Both are technically factually accurate ways to describe a hypothetical scenario where a teen shoots up a place of worship before being stopped by one of the victims, but they both paint very different pictures. Would you consider both sources “highly trustworthy”?