Palm tree advice

I was hoping someone might be able to give me some advice about a palm tree in our garden. The tree was looking a bit sorry for itself when we moved in over the summer, particularly compared to those in other gardens- generally a lack of green leaves. Now it looks quite a bit worse, with only a few green leaves left and mostly dead leaves falling off. A photo is attached. We haven't done anything to the tree and it does take a bit of battering from the wind (we live by the coast in Cornwall). Is there anything we can do to help it out?
Thanks in advance!
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They shed the older leaves, don't fret about it unless we get REALLY cold weather.
It'll be fine , honest.
TBH Common names don't help us much sometimes, just add to the confusion.
If you look at others around you, you'll see they're all pretty similar to yours.