Fermi's Paradox can be resolved in many ways. My preference is the following: Natural evolution of advanced species is much rarer than most Darwinists would have you believe. It is in fact so rare that the probability of at least one species evolving in any given galaxy is below 1 (perhaps well below 1). Many galaxies never host intelligent life. The number of galaxies which evolve 2 or more is a very small number.
No aliens have contacted us yet because there are no others. We are the first (in the Milky Way). This is not anthropomorphic, rather it is an honest assessement of the probability that random chance will produce intelligence.