The most common and most likely answer to this crossword clue is the 6 letter word BRAHMS
I've seen this crossword clue in Independent
B
R
A
H
M
S
More clues leading to the result BRAHMS
- Barman from The Queen coming into money shortly
- Hindu priest’s not at home, he noted
- Hindu creator’s not a creator of music
- Musician from Queen surrounded by supporters
- Cups with vessel, one of a pair in one’s cups
- Romantic German queen in her cups?
- Underwear worn by Her Majesty’s composer
- He composed music to support RN vessel
- Composer supports involving the Queen
- Half-drunk barman?
Buddy explains!

The straight part
We know that "Male composer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case male composer = brahms.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.