The most common and most likely answer to this crossword clue is the 4 plus 6 letter word OPEN LETTER
I've seen this crossword clue in The Times
O
P
E
N
L
E
T
T
E
R
More clues leading to the result OPEN LETTER
- European cracks first goal, one for anybody to see
- Expose what's in envelope that's given to the press
- Exposed, landlord in communication intended for publication
- Old writer, maybe I will offer communication for wide readership
- Nothing confidential in such a missive
- Cricketer welcoming European’s public remarks
Buddy explains!

The straight part
We know that "that's given to the press" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case that's given to the press = open letter.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.