LOS ANGELES, July 19 -- Hailey Bieber isn't letting her billion-dollar business success get caught up in husband Justin Bieber's old business drama.

The model and entrepreneur clapped back at claims that the money she made from selling her skincare brand Rhode to e.l.f. Beauty had anything to do with her husband's financial dealings with former manager Scooter Braun.

"The historic sale of Rhode is a huge accomplishment for Hailey and is completely separate from her husband and his business affairs," her rep told Us Weekly yesterday.

That statement came a day after TMZ reported Justin was allegedly holding off on paying back Braun's company, Hybe, until Hailey's massive Rhode deal went through.

According to Us Weekly, the beauty brand ...