Trent is infallible, a catechism isn’t. If Pius X writes his catechism prior to being pope, then it’s not infallible. Duh. Even if he wrote it as pope, every single sentence, it’s still not infallible. Catechisms never are.
The catechism of Trent, in Latin, has no mention of BOD.
St Pius X wrote his catechism prior to being a Pope, then he re-read it and had it read by several theologians before publishing it again.
You cannot escape the truth, unless you truly wish to persevere in this error and ignore all of the reasonable evidence I have pointed out. In which case, you can no longer be considered a mere material heretic.
The Pope is infallible when he teaches matters of faith or morals. That is an absolute dogma. So, either of two things : you deny infallibility and you are not a Catholic, or you deny that the Catechism constitutes a statement on faith and morals. Either possibility is absurd.
So what if Trent's catechism doesn't mention BOD/BOB? That just means it is incomplete, not that it is incorrect. There is no conflict between St Pius X's catechism and Trent's Catechism that I can think of. Usually, Councils are done in order to oppose some kind of heresy that denies a major article of the faith.
If no one ever denied BOB/BOD in the past, even among protestants, then the theologians who wrote Trent's catechism probably forgot to mention the subject, because it wasn't important back then.
I urge you to make the right choice. Will you make the choice that St Thomas Aquinas, St Alphonsus Liguori, St Augustine, St Pius X all made, or will you keep preaching this theological innovation that only has roots in the USA?