But is this call open to everyone?
Apparently not. See here.
As Archbishop Elden Curtis explained in an article entitled "Crisis in Vocations? What Crisis?": "There is much media hype these days about the present and projected shortage of priests and its effect on the sacramental life of the Church. It is time to pay close attention to the dioceses and religious communities reporting increasing numbers of candidates. There have to be reasons for these increases that bear objective analysis from which some conclusions can be drawn.
I personally think the vocation "crisis" in this country is more artificial and contrived than many people realize. When dioceses and religious communities are unambiguous about ordained priesthood and vowed religious life as the Church defines these calls; when there is strong support for vocations, and a minimum of dissent about the male celibate priesthood and religious life loyal to the magisterium; when bishop, priests, Religious and lay people are united in vocation ministry—then there are documented increases in the numbers of candidates who respond to the call.
It seems to me that the vocation "crisis" is precipitated and continued by people who want to change the Church's agenda, by people who do not support orthodox candidates loyal to the magisterial teaching of the Pope and bishops, and by people who actually discourage viable candidates from seeking priesthood and vowed religious life as the Church defines the ministries.
I am personally aware of certain vocation directors, vocation teams and evaluation boards who turn away candidates who do not support the possibility of ordaining women or who defend the Church's teaching about artificial birth control, or who exhibit a strong piety toward certain devotions, such as the Rosary.
When there is a determined effort to discourage orthodox candidates from priesthood and religious life, then the vocation shortage which results is caused not by a lack of vocations but by deliberate attitudes and policies that deter certain viable candidates.
And the same people who precipitate a decline in vocations by their negative actions call for the ordination of married men and women to replace the vocations they have discouraged. They have a death wish for ordained priesthood and vowed religious life as the Church defines them. They undermine the vocation ministry they are supposed to champion." (Full article here).
Although I have had extensive psychological testing and screening for the United States military (as part of my security clearance for military intelligence) and have received glowing reports which indicate that I am free of any pathologies - including a homosexual inclination, when I contacted the Worcester Diocese (twice) to express my interest in discerning a priestly vocation, I received no response whatsoever.
Meanwhile, the Diocese of Worcester has ordained homosexual men to the priesthood. For example, a psychological evaluation in 1977 prior to the ordination of Fr. Jean Paul Gagnon indicated that the candidate had possible "sex role identification" problems. See here.
Related reading: Expert on Islam prevented from speaking at the Diocese of Worcester's "Catholic" Men's Conference.