- capitalized, it refers to the manifestation of Christ to the gentiles in the persons of the Magi (three Kings)
- lower case, it is a sudden, intuitive perception of or insight into the reality or essential meaning of something, usually initiated by some simple, homely, or commonplace occurrence or experience.
Epiphanies should be sought out, as they are ways for us to grow. To strive to make this a "year of epiphanies" is, I believe, a worthy objective. For me, I'd like every year to be one.
p.s., the definitions above, while consistent with what our priest stated, are actually from www.Dictionary.com.