Geocentrism was a theory propounded by scientists, not theologians. Skeptics seem to forget that. Over the course of a few thousand years, it was generally accepted by men in the Church, yes, but also almost every educated person believed the same until the evidence to the contrary became known. And that required technology—the telescope, to see the moons of Jupiter, and the very fine measurements required to prove that there was indeed a stellar parallax.
The Church had little interest in preserving a man-centered world view, contrary to some claims. When Dante is ascending the spheres of heaven, at one point suddenly he finds the whole cosmologic system inverted—with earth at the outermost edge and God at the center. He asks Beatrice why this is, and she says that what he had been seeing was the physical reality, but what he now saw, with God at the center, was the spiritual, and therefore truer reality.
People, especially scientists, need to stop turning up their noses at medieval thought and actually try to understand the stuff instead. They might actually learn something.
The Medieval period did not have "a man-centered world view." The problem when discussing Ptolemaic cosmology is that moderns take the meanings of modern words and apply those meanings to the past.
In Ptolemaic cosmology, the earth is at the center. For a modern anything at the center is the most important part. For the Medieval man, the center was the least important. After all, at the very center was Hell. And earth is a vale of tears subject to decay and death. To reach the most important part of the universe, man add to ascend through the orbits of the planets to reach the Empyrean beyond the stars where God and the angels lived, millions of miles from the center. The Empyrean was the most important part. The center, the earth that man inhabited, was the least important.
It is the modern mind that has placed man at the center of importance. For the medieval mind, god was at the center of importance.
That was because all the evidence they had pointed to geocentrism. There were some who theorized otherwise but they couldn't produce evidence to prove their theory.
Even today true science is like that, they go with whatever theory has the most currently provable evidence. Sometimes they are quite wrong and the cockeyed belief that they had poo-pooed turns out to be correct. But it doesn't happen that often.