"Doomed" is likely the wrong word. "Progressing towards a natural state of equilibrium" might be better....Soon enough I told her she doesn't actually "feel cold" but the difference of temperatures , she looked at me funny , I looked at her....one thing led to another and I told her about the 2nd law of thermodynamics ... I might have added that our universe is doomed there as well .... she ran away ....Should I feel guilty ?
The Second Law also predicts the end of the universe, according to Boston University. "It implies that the universe will end in a ‘heat death’ in which everything is at the same temperature. This is the ultimate level of disorder; if everything is at the same temperature, no work can be done, and all the energy will end up as the random motion of atoms and molecules.”
In the far distant future, stars will have used up all of their nuclear fuel ending up as stellar remnants, such as white dwarfs, neutron stars or black holes...They will eventually evaporate into protons, electrons, photons and neutrinos, ultimately reaching thermal equilibrium with the rest of the Universe. Fortunately, John Baez, a mathematical physicist at the University of California Riverside, predicts that this process of cooling down could take as long as 10(10^26) (1 followed by 1026(100 septillion) zeros) years with the temperature dropping to around 10−30 K (10−30 C above absolute zero).
In any case, @MaryKB is exactly right.