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Stubborn,

See my Brownson quote to OA. Trent beat O A Brownson (1803-1876) by a couple of hundred years or so . . . means of communication must have been exxxtttrrreeemmmeeelllyyy slow back then, since he publicly advanced in print a teaching so contrary to Trent.

As St. Thomas, the greatest of all the theologians was wrong about the Immaculate Conception, the same is to be said about all the others who taught salvation through faith alone, which is a BOD - we know they were wrong because of the teaching of Trent. 
Points to consider.......

1) It is with certainty of faith that we know that you, me, and all those who have ever been and ever will be baptized, are baptized via the Divine Providence. Almighty God *always* provides us with the time to do it, and the water for doing it, and the minister for doing it - always.

2) As such, you must believe that if God can arrange for you and everyone else to be baptized, that it is by that very same Providence that He can and will arrange for anyone else who desires or is willing to receive it and enter the Church.

3) When God made the sacrament a requirement for heaven, God bound Himself to provide the sacrament to all who desire it - even if that means a miracle - remember: what is a miracle to God? Nothing, nothing at all.

4) The only way a BOD works, is when God purposely withdraws His providence from the event. this means that with the divine providence, a BOD fails, without it, it works. 

5) The condemned doctrine says that the recipient of a BOD saves themself, this idea is known as salvation through faith alone, which again, the Church condemns.

6) There is no getting around any of this if a BOD is to actually be salvific. You have got to take God *completely* out of the formula, which is what the doctrine of a BOD does.