There are some posts here which indicate that more than a few do not know what Fr. Feeney taught. This, however, is irrelevant. There are religious orders that are ‘spiritual descendants’ of Fr. Feeney who hold his understanding of the dogma Extra Ecclesiam Nulla Salus. They are in good standing with the Church. You are free to contact them or the Diocese of Worcester in which they reside to discover this for yourselves.
These are the facts, without any nuances. The words of the Popes and texts of the Councils themselves… I don’t need theologians to tell me what the Papal and Conciliar documents say, they are clear and definitive. I see that we will not all readily agree on this and I’m not sure what the point of further discussion could be since I refuse to embrace a theologian’s opinion that opposes what has been clearly written.
“There is but one universal Church of the faithful, outside which no one at all is saved.” Pope Innocent III, Fourth Lateran Council
“We declare, say, define, and pronounce that it is absolutely necessary for the salvation of every human creature to be subject to the Roman Pontiff.” Pope Boniface VIII,
Unam Sanctam
“The most Holy Roman Church firmly believes, professes and preaches that none of those existing outside the Catholic Church, not only pagans, but also Jews and heretics and schismatics, can have a share in life eternal; but that they will go into the eternal fire which was prepared for the devil and his angels, unless before death they are joined with Her; and that so important is the unity of this ecclesiastical body that only those remaining within this unity can profit by the sacraments of the Church unto salvation, and they alone can receive an eternal recompense for their fasts, their almsgivings, their other works of Christian piety and the duties of a Christian soldier. No one, let his almsgiving be as great as it may, no one, even if he pour out his blood for the Name of Christ, can be saved, unless he remain within the bosom and the unity of the Catholic Church.” Pope Eugene IV,
Cantate Domino
“Whoever wishes to be saved needs, above everything else, to hold the Catholic faith. Unless each one preserves this faith whole and inviolate, he will perish in eternity without a doubt.” Pope Eugene IV,
Exultate Deo
“The Church…regarded as rebels and expelled from the ranks of her children all who held beliefs on any point of doctrine different from her own…The practice of the Church has always been the same, as is shown by the unanimous teaching of the Fathers, who were wont to hold as outside Catholic communion, and alien to the Church, whoever would recede in the least degree from any point of doctrine proposed by her authoritative Magisterium…Whosoever is separated from the Church is united to an adultress. He has cut himself off from the promises of the Church, and he who leaves the Church of Christ cannot arrive at the rewards of Christ…He who observes not this unity observes not the law of God, holds not the faith of the Father and the Son, clings not to life and salvation.” Pope Leo XIII,
Satis Cognitum #5, #9
“Where is the road which leads us to Jesus Christ? It is the Church. It is our duty to recall to everyone, great and small, the absolute necessity we are under to have recourse to this Church in order to work out our eternal salvation.” Pope St. Pius X,* Iucunda Sane* #9
Can. 5 “If anyone shall say that Baptism is optional, that is, not necessary for salvation: let him be anathema” Council of Trent, Session VII, Canons on the Sacrament of Baptism
Can. 2. “If anyone says that true and natural water is not necessary for baptism and thus twists into some metaphor the words of our Lord Jesus Christ:
Unless a man be born again of water and the Holy Ghost, let him be anathema.” Council of Trent, Session VII, Canons on the Sacrament of Baptism
Trent, Decree on Justification, ch. 2 “But though He died for all, yet all do not receive the benefit of His death, but those only to whom the merit of His passion is communicated… so if they were not born again in Christ, they would never be justified, since in that new birth there is bestowed upon them, through the merit of His passion, the grace by which they are made just.”
Trent, Decree on Justification, ch. 7 “the instrumental cause [of justification] is the sacrament of baptism, which is the sacrament of faith, without which no man was ever justified”
No doubt it is [absolutely speaking] possible for God to save men by any means He pleases; and He could have saved all mankind through the merits of anyone thing that Jesus Christ did or suffered, without requiring such a severe sacrifice from Him as His death upon the Cross. But what God can do in this respect is nothing to our purpose: the great question is what He has done. Now, we see from the whole tenor of revelation that God has appointed true Faith in Jesus Christ, and the being a member of His Church, as conditions of salvation; that He has appointed them as essential conditions, so that none will or can be saved without them; that the Word of God points out no other possible means; that whatever extraordinary means He may sometimes use to bring people to His Church, yet, according to what He has said in the above texts, it is impossible He can have reserved any extraordinary means of salvation for those who live and die not joined in communion with the Church of Christ by true Faith, otherwise He would contradict Himself, which is impossible.
Archbishop George Hay, The Sincere Christian
en.wikisource.org/wiki/The_Sincere_Christian/Volume_2/Chapter_29
The good Archbishop lived and died in good standing with the Church.

I am not a ‘Feeneyite’, I follow Archbishop Hay, Orestes Brownson, Fr. Michael Mueller, Fr. Arnold Damen and numerous other Catholics in good standing who have defended Catholic dogma.