As its name would suggest, Barrick Gold focuses on the mining and sales of gold. So naturally, the company is at the whim of spot prices. At the end of the day, if the Fed does increase its interest rate, it will essentially be adding value to the USD.
In doing so, commodities like gold that are priced using the USD would become more expensive around the world thanks to currency exchange rates. In return, this would lead to global weakening of demand and, ultimately, lower prices for gold.