Promotion-chasing Rovers' attempt to avoid a third straight league defeat suffered an early blow when Liam Palmer was sent off for a lunging tackle in only the sixth minute. Porter, on loan from Sheffield United, put the relegation-threatened Shrews ahead before Cameron Gayle headed in his first league goal to seal back-to-back wins on the road.
"Time will tell how big the win will be, but it's a massive three points for us irrespective of the match," Turner said.
"Sometimes it's more difficult to play against 10 men - especially a decent side like Tranmere. We've kept our shape, kept our discipline and we've had a host of other chances to increase our lead but you can never tell - there's always that edginess. There's got to be that concentration - especially from the goalkeeper and the backline - and we've done that."
Speaking about debutant Porter, Turner added: "His contribution was good during the course of the game. He's held the ball up for us, won a few headers and got in behind a couple of times. He's there to score goals and irrespective of how the chances come along, he's there on the spot."
After missing out on the chance to move back to the top of the table Tranmere boss Ronnie Moore insisted there was no time to wallow in defeat before the visit of Swindon on Tuesday.
"On paper I think we could have won - 11 versus 11 and we win the game, I don't think there's any doubt about that," he said.
"I still haven't seen it. Some people are saying it was a sending-off and some are saying it's not, but it no doubt affected the game. I sound like Arsene Wenger really as I haven't seen it but to me it didn't look like a straight red.
"So we're down to 10 after six minutes, but you can't legislate for what our keeper's done there (for the first goal), he's been fantastic all season.
"We can't feel sorry for ourselves - we've got to get on with it. We've got a hell of a team to come here on Tuesday and we go down to 10 again we'll get beat. The tempo was there but the second goal from a set-play was so frustrating as we've been working on them."