The most common and most likely answer to this crossword clue is the 7 letter word DRYEYED
I've seen this crossword clue in The Guardian
D
R
Y
E
Y
E
D
More clues leading to the result DRYEYED
Buddy explains!

The straight part
We know that "Visibly unaffected by sorrow" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case visibly unaffected by sorrow = dryeyed.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.