The Fiji international required seven minutes of on-pitch treatment from paramedics at Kingsholm following a collision with Newcastle number eight Filipo Levi.
"He was knocked out," said Redpath. "He took a while to wake up, and he has gone to hospital because of the knock he took to his head, but he is talking. He seems fine."
Qera's second-half exit did not dislodge Gloucester from their stride as they saw off a disappointing Newcastle side.
Wales international fly-half Nicky Robinson grounded the Falcons down by kicking 20 points from five penalties, a drop-goal and conversion of wing Charlie Sharples' early try.
Newcastle showed attacking glimpses during the first-half through their inventive catalyst Jimmy Gopperth, but they made the long journey home with just two Gopperth penalties to show for their efforts until Alex Tait touched down during injury time and Tait's fellow substitute Rob Miller converted.
"We had to grind out a win in the right way in conditions that weren't great," added Redpath. "Winning is everything - it doesn't matter whether you win well or win ugly. I am delighted the boys stuck to it. There are no easy games in this league - anyone can beat anyone on their day.
"We were put under pressure at times in defence, but it was a game we had to win going into two Heineken Cup matches against Glasgow during the next fortnight."
Gloucester were quicker in thought and deed around the forward fringes, forcing a succession of penalties that enabled them to stay on the front foot.
While skill levels were generally poor - in keeping with most GUINNESS PREMIERSHIP rugby this season - Gloucester's win followed a narrow triumph against champions Leicester two weeks ago and losing bonus point at Harlequins last Saturday.
Newcastle, though, have now lost successive Premiership games following three wins in a row - and rugby director Steve Bates could have few complaints after seeing his team finish second-best.
Bates said: "We created two or three really good chances in the first-half, but we didn't take them.
"The breakdown became more and more messy in the second half, and we kept giving away penalties. That was the difference in the end.
"It was a pretty even game on most fronts. We just gave them too many opportunities, and we didn't play very sensibly at the start of the second half."