Hei Pelle,

the palm tree should be OK.
The youngest middle leafs are still green, so the palm is still alive.
Try to give some auxin (growth hormone) in April with 200 l water. If you have many rain, give not so much water.

Here in Nürnberg we had 6 mm rain since end of February, so i have to water my evergreens every second day.

Greets