Don't Answer Me by The Alan Parsons Project (1984). I (re)discovered this song 3 weeks ago and then by chance, I watched 'Demon 79', a Black Mirror episode set in 1979 with which I've been obsessed since. This episode has great music from that time and I could swear "Don't Answer Me" was in it but it's not - of course since it was released 5 years later. I think it matches the mood of 'Demon 79' pretty well. The closest song in there would be Art Garfunkel's 'Bright Eyes'.
Even my favorite 70s songs were released in the 80s, isn't it great?
https://www.youtube.com/watch?v=JLvFbBR4XOg
https://www.youtube.com/watch?v=Gb2_w0JYFz4
https://www.imdb.com/title/tt27731671/