cum chicken
Slop.
For posting all the anonymous reactionary bullshit that you can't post anywhere else.
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it couldn't stay subtext forever 
i would guess it's to distract from the fact that the rest of the headline reads "europe's leaders try to reduce dependence on trump" and they don't want their audience thinking too hard about what those words mean when all put together like that.
it gives the impression that the new york times is offering a glimpse at an important diplomatic meeting where lots of important powerful people are talking and making big important decisions about how to maybe eventually attempt to be less wholly subjugated by trump and the american empire. a new york times subscriber likely considers themselves to be a "foodie" and wants to hear about the menu at what they like to imagine to be a modern-day potsdam conference.
Because eating that chicken is the most substantial thing that happened in that conference.
Over an unserious meal, Europe's 'leaders' try (and fail) to reduce dependence on Empire - imperial stenographer.
Cause I love a little chicken creamy
You forgot to have a line about the obligatory cold beer that pop country always has:
A glass of wine to make things steamy~
A pair of trousers that fit so dreamy~
That's more like it! Ye haw! This makes me wanna line dance!

what kind of creamy chicken bc im imagining sad chicken in alfredo sauce and green peas
If not for them not choosing their own headlines, I'd say it's because many journalists fancy themselves as artists of a sort with their writing, which leads to them including really unnecessary details and flourishes because they are trying to make a vibe.
No idea why an editor would pick that headline, though.
oh, those queer europeans and their sauced food
Could it be a reference to a dish named after Kiev oops I’m sorry Kyiv?
Chicken Rules Everything Around Me