But married priests at least is a possibility because it is only a discipline on the Roman Rite of the Church. Eastern Catholics in union with Rome do have married priests. But what will never happen is women in the priesthood.
I just believe priests are married to the church, and that it is not fair to the spouse, or the church. Too many chances for dilemmas. Say a family member has a health issue, is he going to sacrifice his church duties to tend to them?
Actually, some of the protestant converts to the Roman Catholic Church, former ministers, are applying to the local bishop for permission to be admitted to seminary. There have been situations where they were accepted. The conditions that apply to the Eastern Catholic Churches apply to the former protestant ministers.
In the Eastern Catholic Churches, the decision to marry must be made before ordination. Those who choose to marry may not serve as bishops, cardinals, etc. In fact, those who choose to marry may not be assigned outside of their native country.
Eastern Catholic priests who do not marry, take a vow of celibacy.