The track, which is launched in the US on June 14, trails her as-yet-untitled third studio album, which is due for release later this year.
It will mark the singer's first solo album since 2003's Hotel Paper, which peaked at number two on the US album chart and number 35 in the UK.
She later formed country duo The Wreckers in 2006, whose debut LP Stand Still, Look Pretty reached number 14 on the Billboard 200.
Branch rose to fame at the age of 15 after signing to Madonna's record label Maverick in 2001.
The 'Everywhere' star recently revealed that her new record will mark a return to her pop roots.
Listen to 'Loud Music' below: