Earlier quoted context omitted.
That's kind of the fault of voters, the political class, and the media, though. The Queen's practical impact on the situation is practically nil.
Did you read the article? Apparently what is widely assumed to be a pro forma aspect of the legislative process has, in fact, been used to make substantive changes to legislature before it's even presented to parliament and this is done in a manner outside of public view.
It is worrying that the Queen can just say no before legislation gets off the ground, but that's true of many of the more powerful MPs, too. I'm in the US, so I'm not exactly familiar with the process on your side of the pond, but over here, we have legislation stopped before pen hits paper simply because it's clear that the current leaders will never allow a vote on it.
That is a broken system, yes, but given the length of time people in those positions tend to serve (and I use that term lightly), it doesn't seem like the Queen's influence is much more. And at least her input doesn't suffer from being completely partisan.
To be abundantly clear: I don't think this is right, I just don't think it's very different than any other politician impeding democracy. Kings and Queens can and have been voted out, too.