The most common and most likely answer to this crossword clue is the 9 letter word GODMOTHER
I've seen this crossword clue in The Guardian
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More clues leading to the result GODMOTHER
Buddy explains!
The straight part
We know that "She’s accepted responsibility for a minor" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case she’s accepted responsibility for a minor = godmother.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 GODMOTHER mean?
GODMOTHER noun- A woman present at the christening of a baby who promises to help raise the child in a Christian manner; a female godparent who sponsors the baptism of a child.
- To act as godmother to.