Lyric discussion by RayD8or 

Cover art for Backstreet Girl lyrics by Rolling Stones, The

Beautiful music...but less than beautiful lyrics, which are deeply troubling.

However, I'm not convinced the words are written from Jagger's perspective. A line that leaps out is "Please don't you bother my wife" but Jagger wasn't married then (1967)!

https://en.wikipedia.org/wiki/Mick_Jagger#Personal_life

So it's likely he was just using creative license and portraying/critiquing a certain type of character - a misogynistic rich rotter.