Dusty Rhodes 911 -- Panicked Wife Begs for Help ... Operator Sounds Annoyed

TMZ Sports has obtained the 911 call made by Dusty Rhodes' wife moments after the wrestling legend collapsed at his Florida home ... and the 911 operator sounds inconvenienced by the whole ordeal.

The call was made on June 10th at 5:56 AM -- you can hear Dusty's wife say, "I need help. My husband has fallen. He's very sick. I need help."

The operator snipes back, "They're coming as fast as they can. Me talking to you is not stopping them."

Dusty's wife thanks the 911 operator and gets off the phone ... and that's when you hear the operator breathe a giant exasperated sigh.

Eventually, help arrived ... and Dusty was transported to a nearby hospital where he passed away the next day.

Rhodes was 69.