Pacy defender Storm Roux showed he's just as capable in attack, scoring the only goal in the 27th minute in the first A-League game at the venue to lift the Mariners to fourth on the ladder.
But the right back turned from hero to villain in the second half to concede a penalty after a careless tackle in the box.
Reddy saved his blushes, blocking Stein Huysegems' spot-kick in what was an impressive game for the Mariners gloveman, who diffused a barrage of strikes from Wellington.
With the Mariners desperate to put their 4-0 humiliation by Adelaide behind them and the Phoenix still searching for their first win of the season, both sides were on the attack from the opening whistle of the rescheduled round-six clash.
Veteran striker Daniel McBreen fired a shot within the first minute with Jason Hicks returning serve for the Phoenix just seconds later.
Wellington continued their early fire with Huysegems, Hicks and Jeremy Brockie all forcing fine saves from Reddy.
Meanwhile, Joshua Rose, Nick Fitzgerald and McBreen threatened for the Mariners.
But it was right-back Roux who broke the deadlock, getting on the end of a great ball from Mile Sterjovski and exposing the Phoenix backline to put the Mariners ahead.
Roux conceded the penalty in the 48th minute after bringing down Manny Muscat in the box, but courtesy of a sensational save from Reddy, didn't live to regret it.
Fitzgerald looked like doubling the Mariners' advantage with about half an hour to go but Phoenix gloveman Glenn Moss pulled off perhaps the save of the game to deny the attacker.
Hicks and Kenny Cunningham were dangerous for Wellington, Alex Riera was responsible for many of the Phoenix's attacking raids and substitute Paul Ifill was twice denied by Reddy in the late stages.
The Phoenix were on the attack until the dying minutes but despite a glut of chances just couldn't find the equaliser.
Wellington coach Ernie Merrick was left ruing his side's missed opportunities.
"I felt as though if we scored the penalty, we would have gone on to win," he said.
"But chance after chance after chance ... We're just not scoring regularly in games and that's the frustrating part.
"The positive is that if we keep creating chances, by the law of averages and numbers, it's going to go our way, so there's enormous optimism there."
Mariners mentor Phil Moss knew his side were fortunate to have taken home the spoils.
"It's fair to say that it wasn't one of our prettiest performances - we ground out the three points," Moss said.
"Coming off that bad loss in Adelaide, I thought it showed real mental strength to find a way to win the game."
But Moss was full of praise for Reddy, who last week gifted Sergio Cirio the Reds' third goal with an embarrassing blunder.
"He copped a bit on the weekend with the mistake down in Adelaide and I thought he showed some real mental toughness to come back and put in a performance like that," he said.