Fairly trustworthy. But it all depends on how you define "media". If it's media offering opinion, analysis, editorializing, or viewpoints, there's nothing to complain about if there is a bias. If there is straight news reporting that is shown to be biased, that's a problem.
I asked this (rhetorically) recently - I hear tons of whining from right-winfers about "liberal" MSM, but they don't cry about how overwhelmingly "conservative" talk radio is. Why?
Show me bias that impacts straight news reporting and I'll get interested. If you're whining because there are ten "liberal" news organizations (liberal because they editorialize with a liberal slant) and one "conservative" one, that's not a legitimate complaint.