Im pretty sure an Elder is more experienced then the average Yautja. But I don't think it can take a Queen.
Elder's are still pretty strong and skilled, but when its a alien that big and powerful, where it only takes one hit, the Elder isn't gonna do back flips and dodge every claw and tail swing.
The queen would flatten the Elder quiet fast.
On AvP2 Online, if your really really good, you can take out a queen with combistick, but it usually takes about 3 skilled preds.