Four players after puzzle in media outlet (3,4)

I believe the answer is:

fox news

I'm a little stuck... Click here to teach me more about this clue!

'media outlet' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'four players after puzzle' is the wordplay.
'four players' becomes 'news' (I can't explain this - if you can you should believe this answer much more).
'after' is a charade indicator (letters next to each other).
'puzzle' becomes 'fox' (synonyms).
'news' put after 'fox' is 'FOX NEWS'.

'in' is the link.

Can you help me to learn more?

I've seen this clue in The Independent.

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