I always use a sharp pair of scissors and snip off the old or dying leaves, then chop them up small and put on the compost.
Also I would only water every few days if it hasn't rained.

cordilines arnt real water lovers .

Thanks. Treesandthings. I never thought of using scissors but will have a go.

Noseypotter, I didn't realise I could be harming it by watering every day. I was only doing this because it had been transplanted from another garden. I will now water less frequently. I haven't anything to loose really as it's already looking poorly.

I'm not 100% sure that it's a cordyline. The leaves are quite broad, strong and pointed (when healthy). Maybe it's a yucca, but it doesn't look like any I have seen on pictures. The 3 flowers on it look like those on cordylines though.

well if youve moved it it will need more watering than normaly as it goes as long as the soil drains quite well.its not so much the cold thats killed or damaged these its realy the wet . a couple of summers ago was quite a wet summer here in norfolk and a warm one but they didnt like that much either.i lost a couple .from now on ill just tye the leaves up in a point over winter to stop the snow sitting on them .

Noseypotter. I will tie my leaves up over winter, if it survives that far!

i will always tie my leaves up to . once bitten lol .