My partner and I stayed in my mils summer house while saving, for about 10 months, from February onwards.
It was cold but as it was small, with two bodies a oil filled radiator and jumpers/throws did quite well in keeping it relatively warm. Considering it was a glorified shed, it was fairly cosy.
Conversely, boiling in the summer so....
We avoided the dead of winter I think, but weren't moving because we were cold...
If its only temporary, there are blankets aplenty and the cost of running an oil filled radiator isn't too crippling - considering the lack of insulation will mean it will cool much quicker than you'd expect, then it should fine.
Pop a thermometer in so you know it's ot dropping too low.
But consider a back up plan, if it really does get too cold.