"It doesn't make any difference to us really," believed the stand-in Swans skipper.
"It's not going to affect us going up or [our] play-off push. It's a one-off game with 16 games to go."
The game looked like it was heading for a draw until Bluebirds captain Craig Bellamy fired in an 85th-minute winner to deny Swansea City the possibility a first ever derby double.
But despite Cardiff taking the bragging rights Tate questioned the importance of the win to Cardiff.
"That game isn't going to get Cardiff up. We just move on to Middlesbrough and try and win that game," added Tate, who believes Swansea can bounce back from the defeat.
"You can't get down for too long because if you do you start having a mountain to climb. We don't want that.
"We want to keep everything in our own hands. The quicker we move on the better."
Tate thought the fair result was a share of the spoils but he was full of praise for the way Bellamy imposed himself on the contest just at the right moment.
"I thought it was a draw game to be honest, but at the end of the day the best player in this league [Bellamy] has popped up with a real good goal.
"He's done it and that's what he gets paid for. He will probably tell you himself he wasn't in the game much but all it takes is that one moment and that's what these type of players do.
"He has come up with a world-class finish and hats off to him.
"We just didn't hit the target and I don't think either keeper had a save to make. The only time Dorus [de Vries] had something to do was pick the ball out of the net with a great finish."
On the possibility of the Swans and the Bluebirds reaching the play-offs Tate said: "We are not thinking that far ahead. [But] it would be a good [play-off] final wouldn't it?"
Source: BBC Sport
Source: BBC Sport