The most common and most likely answer to this crossword clue is the 4 plus 1 plus 4 plus 7 letter word IT’S A FREE COUNTRY
I've seen this crossword clue in Financial Times
I
T
S
A
F
R
E
E
C
O
U
N
T
R
Y
More clues leading to the result IT’S A FREE COUNTRY
Buddy explains!

The straight part
We know that "You can’t object to this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case you can’t object to this = it’s a free country.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.