Final answer:
The fallacy shown in Freud's critique of religion is the genetic fallacy.
Step-by-step explanation:
The fallacy shown in Freud's critique of religion is the genetic fallacy. The genetic fallacy occurs when an argument is dismissed or accepted solely based on its origin or history, rather than its merits. In this case, Freud's critique of religion is based on the assumption that religious beliefs are rooted in mankind's oldest, strongest, and most insistent wishes, which may not necessarily be true for every individual or religion.