How does the constant cold of Gethen contribute to the theme of isolation and loneliness?

In my opinion, the constant cold on Gethen contributes to the theme of isolation and loneliness as Genley is not adapted to the cold environment that the Gethenians live in as he is a foreigner and has no clue of what Gethen is really all about. Genley has to now adapt to the cold temperatures and in doing so makes him more stressed out than he already is due to him not being involved with Gethenian culture and not accepting their lifestyle. For example, Genley's gender and his appearance whether it be his height difference or posture show how he differentiates from the Gethenians.  The Gethenians are genderless and have no character to them as if they're all just the same person while Genley does. This contributes to him being alone and not fitting in with the rest of the people. Also, the Gethenians are afraid of Genley as they have no clue of his origins and the hatred from the king. For example, when the king first met Genley, he suspects him of potentially trying to ruin his position as king. As Genley is trying to reach a conpromise about uniting the king's Nation with the Ekumen, he becomes more and more paranoid as he thinks that Genley will trick him into giving his power away. This leads to the King being afraid of Genley and spreads fear throughout his land which in turn causes backlash from the people to Genley. This leads to Genley feeling left alone and potentially feeling left out.  This esclated even more as Estraven was banished from Karhide and Genley is now at an even more disadvantage as he depended upon him for communication and guidance around Gethen. This ultimately caused Genley to live alone and completing his diplomatic mission on his own.