The Leeds midfielder could have reportedly moved to Wigan Athletic in January.
And the midfielder's performance is a credit to his professionalism, according to his manager.
Austin reportedly almost left Leeds for Wigan in the January transfer window but remained a member of the Yorkshire side's squad.
Now, the 29-year-old is turning out regularly for Redfearn's side and his boss believes he was impressive against the Bees, hailing his work-rate in particular.
"I thought Rudy was outstanding for us today. He gives absolutely everything," the 49-year-old Leeds boss said.
"He's come from a difficult set of circumstances where there was enough interest in him to unsettle him but he didn't show it today. I thought he was great and he's got to take credit for that as a professional."
Leeds now sit 10th in the Championship after their 1-0 defeat to Brentford - in spite of what Redfearn thought was a brilliant performance from Austin.
The Leeds boss has also warned his side that they must up their game ahead of Tuesday night's visit to Reading.
The Brentford defeat ended a four-game unbeaten run for the Yorkshire side and Redfearn and co will be keen to ensure it remains a mere blip, as opposed to the start of another poor run for the Elland Road outfit.
Alex Pritchard's 65th-minute winner ultimately consigned Leeds to a 1-0 loss against the Bees.