If by "orientation" you mean "sexual attraction," then yes, I suppose everyone has a sexual orientation, at least between the ages of 13 and 83, with some leeway at both ends of the timeline.
Attraction is an involuntary thing, sometimes good (as in, strong attraction to your spouse or spouse-to-be) and sometimes bad (as in, strong attraction to somebody else's); if it constitutes a temptation to sin, one should try to minimize it, as in the duty to "avoid the near occasions of sin."
"How does someone even find OUT what a priest's sexual orientation IS?"
Seminarians go through pretty serious psychological scrutiny and interviews (with them as well as often their family and friends) before being considered for ordination. Sexual history and orientation would come up here.
As for someone who's already ordained: I don't know. You could ask. But unless you had some serious reason to ask, it's none of your business.
“Seminarians go through pretty serious psychological scrutiny and interviews (with them as well as often their family and friends) before being considered for ordination. Sexual history and orientation would come up here. “
But what happens when the person above you is Gay and makes advances and you are told you will be crushed by the Church if you go public???
http://www.bbc.co.uk/news/uk-21565750
It seems a lot of people that should not have been ordained..get ordained.