From their FAQ [1]:
Q: What is the difference between Amazon Athena, Amazon EMR, and Amazon Redshift?
[...] Amazon Redshift provides the fastest query performance for enterprise reporting and business intelligence workloads, particularly those involving extremely complex SQL with multiple joins and sub-queries.
[...] Amazon Athena provides the easiest way to run ad-hoc queries for data in S3 without the need to setup or manage any servers.
Elsewhere they also recommend Athena for unstructured data. This and a relational database like Postgres are fundamentally different and you shouldn't use one when your use case is primarily meant for the other.