What more should the media do? "Faceless, nameless team does X, No film at 11 in case that might make someone look like they're getting too much credit."?
Every team has a leader (de facto or otherwise). Having one voice, one face for a globe-spanning team effort is the way the media can convey the amazing, awesome message to the masses in a relatable way.
But that is the problem, actually. Simple question: Is Prof Bouman the team leader that held all this together?
In answering this, consider this is from the ERC website, which is the major funding body of the project:
> Since 2014, this six year research project is being carried out by three lead scientists and their teams; namely Professors Heino Falcke from Radboud University Nijmegen (also Chair of EHT Science Council), Michael Kramer from the Max Planck Institute for Radioastronomy, and Luciano Rezzolla from Goethe University Frankfurt. 
So to answer "What more should the media do?", my guess would be: at some point, mention Falcke, Kramer, and Rezzolla? And the ERC?
Why does this bother you so much? What do you lose by her getting credit? Or anyone? What actual harm is it doing?
Why does a woman getting "credited unfairly" strike a nerve when it happens every day that a CEO takes singular credit for an entire corporation worth of people's work with no "Unfair credit!" reaction?
The so many articles you read about Steve Jobs and the iPhone.
Did you once say/ask “it was not just Steve Jobs. It was a whole team of people who created the iPhone”?
The media and the public in general give him the credit because he led the team that developed the iPhone.
The first man to walk on the moon. He couldn’t have done it without a whole team of people working before, during and after they landed. Most of the media does not go into detail when they write stories about it.
It’s silly to say that everyone on a team should be mentioned by name in every article that comes out about an accomplishment.
And, yes, I personally do speak out when CEOs and such take credit. [The Google Android project head is one example from recent memory].