When I hear people say this it usually means they found a religion of some sort. Though not in your case? The trouble with me is I'm an extreme cynic so epiphanies are a bit thin on the ground...
The Epiphany for Christians has to do with the manifestation of Christ to the gentiles. They found religion.
In the dictionary, you'll find that it is a synonym for "realization or an awakening."
There are many things in the world that guide people in their lives ... faith or religion, philosophy, psychological counseling, manipulation by others through propaganda, coercion, dictates, threats and so forth. One of the things that I left out of that laundry list is perhaps, termed personal conviction, but that's a shady definition and open to interpretation because often, people will claim a personal conviction to the things that manipulate them.
The other thing that wasn't on that laundry list is individual self discipline in terms of responding to one's environment as opposed to blindly reacting to it. This has nothing to do with religion, philosophy, psychological counseling and pointedly, frees oneself up from external manipulations, by allowing a truer form of "Choice."
I am not religious and therefore, you may infer, that I am not Christian, Muslim, Buddhist, Animist, Wicken, Hindu, Bahia, Shinto, etc. But I respect them all. (Forgive me, if I did not mention your particular religion). And yes, I respect atheists too. Am I an Atheist? I won't allow myself to labelled as anti-religious. Thank you. And no, I am not a futilist, a person who believes that life and cognizance is an artifact of a fantastic aspect of molecular existence and that people are predestined by causality to be what they are, no matter how good or evil. That's also worthy of my respect, but it just isn't me. I am the nucleus of my being and exercise choice over what I do and am not subject to causality.