Should be ok if you move it to a sheltered spot and make sure the pot is standing on some pot feet to keep it off the ground. Mine have always done ok like that.

I keep my pots of hostas in a cold greenhouse over the winter

Hostas in my experience need no protection ,i have them in pots and planted in the garden and they have shown no sign of damage after two very severe Scottish winters.

I just leave mine out all winter and have done for years - they always survive

I've grown Hosta's in large pots for years. I leave them out all winter, they die down in the winter. I turn it out of the pot, quarter it with a spade and re-pot them. Last year I inadvertently left one directly under a run-off rain gutter under my porch. It was constantly waterlogged but came up again in the spring.

Thankyou for all your comments..helpful as always :)Myron,so to make more Hostas I can do this now..could I just halve it?

You can divide them any time of year.

Thankyou :)

Hostas are tough as old boots. I grow about 200 a year on my nursery and they're left to their own devices in 5 inch pots outside over winter in quite an exposed spot. I've never had any losses.