Part 1
The stereotype of gay man as effeminate is only partially true--it is a characteristic of some gay men. I would even hazard a guess that this stereotype is thought of by many straights as a touchstone feature of gay manhood because we more readily recognize gay men with this characteristic that we recognize gay men without this personality pattern. 

I will even go so far as to agree that PERHAPS effeminate gay men may be more attracted to the priesthood than other gays. My evidence is anecdotal and thus not very secure. I have noted that many men with a Roman Catholic upbringing who become Byzantine Catholic priests are effeminate gays. There is more fuss and frill in that rite to titillate those so inclined. (Weak evidence, but my attempt to grant your views maximum credence.)