What matters is she has taken away any appearance of being unbiased, both for her and by association for the paper.

Nothing is unbiased, anything written by a human is tinted by their perspective, by what they know and by the lack of what they don't know, by their sense of morality, their ideology, etc... At most, you can approach what looks like the neutral position from your perspective, but true neutrality is fundamentally unreachable. Personally, I prefer a journalist that knows what their bias are and state them clearly to their audience over one that pretend like they have the laterally superhuman ability to forme truly unbiased and neutral opinion.