If we talk about general terms, both sides are important. Like Christ is fully God and fully Man, so is Christianity both Anthropocentric and Theocentric, excluding either is stupid and degrading.
With that being said, what you're talking about usually refers to the moral system, which must always be theocentric, because it's the only one that guarantees objectivity. Anthropocentrism in that case means that human himself decides morals for himself, which is degenerate and inconsistent.