"It was a great performance and a fantastic result, but we're still in a relegation fight and have done nothing yet," Carey told BBC Sport Wales.
"We responded in the right way after Easter when people said we were dead, we went out and threw the shackles off.
"But we can't let up now, we must go to Walsall and get a win on Saturday."
It's possible that Wrexham can find safety with a win at Walsall on Saturday. Depending on other results The Dragons might be celebrating come 4.50pm on Saturday or they will have a nervous wait for a week to face a final showdown with Boston."It's in our own hands now," said on-loan Hartlepool striker Michael Proctor, who got the crucial winner at Shrewsbury, his first goal for the Dragons.
"The goal's been a long time coming and I was getting some stick from the lads, but I couldn't have timed it better.
"The main thing, though, was to get us three points closer to safety. Now we've got to do it again on Saturday."