Hereford twice pegged back their opponents with Febian Brandy and Marc Pugh cancelling out Joel Porter's double, but Hartlepool snatched all three points thanks to goals from Sam Collins and Antony Sweeney.
Turner said: "We've played a lot better than that in our last three or four games and lost. Football's a funny game.
"Our defending was terrible and it has allowed Hereford to come back into the game twice after we scored what should have been important goals.
Fortunately, we got two good late goals to earn the win and at this stage of the season the result is far more important than the performance.
"The three points are vital to us, but we've still got a lot to do before we can relax.
"We have five games left and teams below us are snapping at our heels. If we can play as badly as this and win them all, that will do for me."