The most common and most likely answer to this crossword clue is the 6 plus 4 letter word NELLIE DEAN
I've seen this crossword clue in Financial Times
N
E
L
L
I
E
D
E
A
N
More clues leading to the result NELLIE DEAN
- Have an inclination to accept German song after extremely nice English one
- Danielle, distraught after one has rejected love – music hall song
- Little Eleanor and Daniel covering English music hall song
- Needle skipped with Nail’s boozy song
- Old song, one rejecting love, by Danielle, possibly
- Sentimental ballad: extremely nice German song in list
- Song in North-East — spare a music hall one
Buddy explains!

The straight part
We know that "music hall song" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case music hall song = nellie dean.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.