I know where you're coming from, but really, her integrity doesn't matter.
This isn't a undercover or deep investigative piece of reporting where the reader is relying on the journalist to be honest and faithfully relay the information they've uncovered from people off the record. All she's doing is prompting the person being questioned to speak on a subject.
It could be a parrot asking the question, the only thing that matters is if the question is relevant and in the public interest, which this question obviously was, and what the answer was.
Neil Custis being a detestable person doesn't affect the validity of the answer Pep gives when he's asked what injuries we have.
You say it does matter, but who does it matter to? About 20 die hard Manchester City fans on a forum who were delighted they could discredit the questioner rather than accept the question is valid. No one reading her paper or any of the people in the room or listening to the answer cares/cared.
And that's the same in politics or the other walks of life you're referring to. It only matters to a very small, hyper partisan minority.