I wouldn’t at all deny that the scientific material view of which is at the “centre” would have the Sun at the centre of our solar system and some ultra-dense quality at the centre of the Milky Way of which our system is a part.
Again, though, that is a perspective issue. What holds for the Sun/Earth orbits applies as well for Sun/Solar system orbit, as shown below where the Sun (pink dot) rotates on its orbit (white circle with 12 red dot points of the orbit) around the centre of the galaxy but perceived from a “solar stationary” bird’s eye view.

It is absolutely about perspective and the convention of our age is to have the language of physics as the genre within it is discussed. However, is the purely material realm where our language derives its meaning? The biblical language and traditional understanding of the Earth as being at the centre of creation is perfectly acceptable.
There is a desire not to sound daft in the current world and its conventions of description. To suggest the Earth is at the centre is what: ignorant? dogmatic? primitive?
However expand it beyond the two genres of description (physical/spiritual) and find what other perspectives there might be. I know Star Trek is fairly popular around here so let’s take an inter-galactic view. Picard is heading home, what point of the Universe will be at the centre of his navigational view? What point will be the emotional centre of the Universe for his crew? What point will be the intellectual focus for the journey “home”?
From so many perspectives, physical and otherwise, the earth is/may be the centre of solar system, galaxy and universe. Not least of this is the spiritual perspective and, dare I say it, the Divine perspective. The physics view exiles humanity from its place in creation, instead of being the centre we are motes floating irrelevantly somewhere insignificant and people run to find another centre. We know that on the contrary the earth is where there are the sparrows and flowers that God watches and the humanity that God sent His only Son to. Are we not at the centre then from this perspective too?
Finally, another one of those pesky “star flowers” this one is the orbit of the Sun in the Milky Way before animation. I know there’s a perfectly good mathematical equation to describe why all the intersections are where the red dots appear but I still think it’s neat:
