Update on our little stray cat....she likes to come indoors to the kitchen and lie beside me while I work but always wants to go outside to sleep. We were worried about the colder weather and managed to get her to sleep in a box, then changed that to a cosy cat bed when she got used to that area. It's sheltered from the wind and rain (and snow!) but we wanted something warmer.
Solution - the little cosy cat bed is inside this plastic box and the area between the box and bed has polystyrene for warmth. She loves it! She can still sit there and watch all the comings and goings at the back of the house :)