There is no doubt that an orthodox Catholic can enter a seminary.
During his training he may need to be cautious about saying the rosary, and he must not appear too fond of other devotions. However, there are problems which face priests once ordained, particularly when in charge of a parish.
1 He will get rid of altar-girls. They cannot become priests, and boys can and do. The great majority of priests are former altar-boys. Once you have altar-girls, boys go elsewhere. They are at an age when boys will avoid girls. The question here is do we want vocations, or not?
This will upset the mothers of the girls, and the feminists who tend to gather around the altar before and after Mass. They will complain of discrimination, and the gossip will eventually find its way to the bishop, who has many other problems to deal with.
2 The extraordinary ministers of Holy Communion will become a thing of the past. They are permitted only when priests are old or sick, or where there is a very large crowd.
Again, these are mostly middle-aged women, who have come to treat access to the altar as a 'right'.
3 The people will learn that God requires a minimum dress standard, and does not favour T-shirts, thongs, stubby shorts or pedal-pushers.
4 Those who come to Mass at Easter and Christmas, but not at other times, will be told not to line up for the Blessed Sacrament, unless they have been to confession.
5 Children will not be baptised unless their parents indicate that their child will be brought up in the faith.
6 Couples living together who want to marry will be told to separate first and live a celibate life, after confession.
7 Parishioners will hear him explaining the teachings of the Church, in season and out of season. This will include sin, abortion, contraception, modesty, sodomy, euthanasia, Hell, and the contents of the catechism.
8 Abuses in the Mass will disappear. The sign of peace will be limited to those standing adjacent. No more wandering around the church.
9 There will be no unnecessary talking in the church.
10 Teachers at the local Catholic school will be recruited by a panel which will ensure that they are living a Catholic lifestyle.
11 He will forbid the use of the church to those promoting unapproved apparitions. And for any other unauthorised uses, such as buying and selling or eating.
12 He will work hard for souls, with regular daily Mass at a time when working people can attend. Confession several times a week. Benediction at the weekend. Devotions to saints and Our Blessed Mother, especially the rosary. He will promote the scapular.
13 Homosexuals who demand a 'wedding' ceremony or a 'blessing' of their arrangement will be told to get lost. An orthodox priest will not hesitate to go behind bars for the love of his Creator.
There are other difficulties, but this list gives a reasonable idea of what happens.
The downside is that there will be many complaints from feminists and others who are comfortable with the Church as it is. Other priests in the area will become uncomfortable and may raise their disquiet with the bishop.
An example exists in the case of Fr John Speekman in Morwell, Victoria, an orthodox priest. A complaint to the bishop from a school principal led to removal of the priest, with little or no support from his brother priests.
Vatican orders reinstatement of wrongly removed Sale Diocese parish priest