The most common and most likely answer to this crossword clue is the 4 plus 6 letter word BABY SITTER
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Buddy explains!
The straight part
We know that "Who cares if a child’s left home" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case who cares if a child’s left home = baby sitter.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.
What does BABY SITTER mean?
BABY SITTER noun- A person who cares for one or more babies or children for a short period of time in place of their legal guardians.