I have never been so grateful for heated seats in my life. We had just spent four hours driving across Jutland in mid-November, the kind of grey, relentless drizzle that makes you question every life choice that led you to a Danish beach holiday in late autumn. My partner had insisted we stop at a service station near Holstebro for what he called "a proper stretch and a hot dog." What actually happened was that he locked the keys in the boot while trying to retrieve his anorak. There we stood, two grown adults in matching waterproof trousers, watching rain collect in the hollows of the car park tarmac, waiting for the hire company to answer the phone.

By the time we finally pulled onto the gravel track leading to Sjelborg Strand, the light was doing that peculiar West Jutland thing where afternoon simply gives up and becomes evening without any proper ceremony. The fields on either side had been harvested weeks ago, leaving stubble the colour of old straw, and the wind was coming straight off the North Sea with nothing between us and Norway but water and resolve.

The cottage sat low against the landscape, almost apologetic about its existence. White-painted wood, dark roof, the sort of place that knows better than to draw attention to itself when the gales arrive. I loved it immediately. There was something profoundly comforting about its squat practicality, like a wellington boot made into architecture.

The key was in the lockbox as promised, though my fingers were too cold to work the code on first attempt. Inside, the air carried that particular Scandinavian smell of wood and salt and central heating. Someone had left the underfloor heating on low, presumably since summer, and the tiles in the hallway felt like a small miracle against my frozen feet. I stood there longer than necessary, just shifting my weight from foot to foot like a cat making biscuits.

The living room faced west, and through the picture window the last of the daylight was dissolving into the dunes. In summer, I imagine, you would throw open the doors and let the evening stretch until midnight. In November, the glass was streaked with rain and salt spray, and the room felt less like a viewing platform and more like a ship's cabin. We were inside looking out at a world that had very firmly closed for the season.

My partner attempted the terrace door, more out of stubbornness than sense. It opened with a suck of weather stripping, then immediately tried to close itself in his face. The wind had other plans. He wrestled it shut while I laughed from the sofa, wrapped in a blanket I had found in a cupboard. There would be no al fresco dining. There would barely be al fresco breathing.

The kitchen was stocked with the basics left by previous guests or the letting agency. Salt, pepper, a jar of something pickled that I dared not open. We made tea with the electric kettle and stood at the window watching the darkness complete itself. Somewhere out there was the beach, the proper sandy stretch that gives the place its name, but it might as well have been another country. The season had reduced our world to this warm box and the howl beyond it.

I found myself unexpectedly content with this limitation. There is a particular honesty to a beach holiday in the wrong season. No pretence of swimming or sunbathing. No pressure to make the most of the weather. Just the brute fact of being somewhere, letting the landscape do what it does while you drink tea and wear thick socks.

The wind found a gap somewhere and whistled through the eaves. My partner looked up from his phone, where he was reading about local attractions within walking distance. "There's a lighthouse," he said. "Three kilometres."

"Tomorrow," I said. "If the rain slows."

He nodded. We both knew we might not go. The season had made us provisional, made every plan into a soft maybe. It was strangely liberating.

Before bed I stepped outside to the little gravel area at the front. The clouds had torn slightly, enough to show a few stars and the distant glow of Esbjerg to the south. The cold was immediate and absolute, a wall you walked into. I lasted perhaps ninety seconds before retreating, but in that time I heard the sea properly for the first time, not as the vague background roar I had imagined from inside but as a rhythmic, actual presence, working against the shore in darkness.

The heating clicked on somewhere in the walls. I stood in the hallway again, feeling the tiles warm against my soles, listening to the wind find new angles of attack. This was the deal we had made, coming here in November. Not the Denmark of bicycles and harbour swimming and long bright evenings. Something else. Something that asked less of you, perhaps, but also offered something quieter in return.

I went to bed early, worn out by nothing in particular, and fell asleep to the sound of weather doing what weather does on the west coast of Jutland in late autumn. It felt like enough.