Pluto turns around the Sun, but from Pluto the Sun is very small. Idem, the Sun could turn around a very big and very far star looking very small from the Earth.
We could be in a wide binary where currently the stars are at a maximum opposites, then the binary companion would be a very bright star at night, and not visible during the day.
This could explain the nemesis star theory for mass extinctions https://en.wikipedia.org/wiki/Nemesis_(hypothetical_star) and also the recently discovered anomaly in the planets orbit https://www.caltech.edu/news/caltech-researchers-find-eviden... or why the Kuiper Belt ends suddenly or the Pioneer anomaly or maybe even the Oort Cloud.
There are some still unproved theories that state this star could be Sirius binary and we are in fact in a triple star system.