The most popular music was swing / jazz as personified by bands like Tommy Dorsey, Glenn Miller and Benny Goodman but the Afro-American "sweet, swing and jive" was found at parties and dances where the Lindy Hop and Jitterbug were taught to British girls at US airfields in England. I believe the No.1 song at the time was the Andrews Sisters' "Boogie Woogie Bugle Boy", but they were white.
I've met many Eighth airmen over the years (mostly fighter groups) and none seem to have had a problem with black music; but they were a long way from home.
This web site covers the period , the majority "white" but some black bands.
https://www.historyonthenet.com/auth...sic/index.html
Nick