To help you find the opposite, please provide more context:
* What is the full sentence or phrase where you saw "enate"?
* What is the topic or field you are working with?
For example, if you are looking for the opposite of "enate" in the context of a genealogical term, the opposite could be "agnate" which refers to a relative through the male line.
Once I understand the context, I can help you find the correct word or concept that is the opposite of "enate".