The following would have significant bearing on the choice:

• Time of day

• Weather conditions

• Terrain and general difficulty of the 2 mile hike

In most cases though the 2 mile hike would absolutely be the best option, moving as fast as possible without taking any excessive risk. Simply because it would be the fastest and most reliable path towards warmth. Building a shelter and fire takes time, and even with a fire they'd still be wearing wet clothes.

Unless its dark, windy, snowing, and the terrain to the cabin is difficult, and they have lots of good dry wood readily available, and strong shelter building skills .... maybe then it would make sense to stay in place. They'd need to be able to have a minimal wind break and roaring fire going within like 30 minutes for staying in place to make any good sense at all.

Make the cabin much further though, or if there is immediate risk of hypothermia and it would make more sense to warm up and dry out a little first atleast. Build a fire, wring out wet clothes and get core temp back up to safe levels, pre-warm the clothes, put them back on, and then press onward to the cabin, would be plan B.

Staying the night by fire with no dry clothes avaible, or blankets etc.... that would be incredibly stupid to choose, unless there really were no other options to pick from.