the catholics did not disagree with gallileo because they thought the earth was flat. they just thought that the earth was the center of the universe.
it's a specious argument because although the sun is bigger than the earth, is it necessarily so that "earth is orbiting the sun" or is there a bidirectional relationship?
further, the whole notion of a "center of the universe" is also quite specious because we have never seen the edge (is this sounding familiar) and so how do we know that space itself isn't a 4d hypersphere like the surface of the earth is a 2d surface on a sphere.
because if it is, then there is no center to the universe the same way as there is no centre to the surface of the earth. it's unbounded. you can't have a center without edges.