Actually the cup for the laity subsided during the Black Death in the Middle Ages.
Here's what the Council of Trent actually had to say about it:
"
Why The Celebrant Alone Receives Under Both Species
It is clear that the Church was influenced by numerous and most cogent reasons, not only to approve, but also to confirm by authority of its decree, the general practice of communicating under one species. In the first place, the greatest caution was necessary to avoid spilling the blood of the Lord on the ground, a thing that seemed not easily to be avoided, if the chalice were administered in a large assemblage of the people.
In the next place, whereas the Holy Eucharist ought to be in readiness for the sick, it was very much to be apprehended, were the species of wine to remain long unconsumed, that it might turn acid.
Besides, there are many who cannot at all bear the taste or even the smell of wine. Lest, therefore, what is intended for the spiritual health should prove hurtful to the health of the body, it has been most prudently provided by the Church that it should be administered to the people under the species of bread only.
We may also further observe that in many countries wine is extremely scarce; nor can it, moreover, be brought from elsewhere without incurring very heavy expenses and encountering very tedious and difficult journeys.
Finally, a most important reason was the necessity of opposing the heresy of those who denied that Christ, whole and entire, is contained under either species, and asserted that the body is contained under the species of bread without the blood, and the blood under the species of wine without the body. In order, therefore, to place more clearly before the eyes of all the truth of the Catholic faith, Communion under one kind, that is, under the species of bread, was most wisely introduced.
There are also other reasons, collected by those who have treated on this subject, and which, if it shall appear necessary, can be brought forward by pastors."
- THE CATECHISM OF TRENT: The Sacraments - The Eucharist
I am indeed happy that I can receive the Eucharist in both species. But the whole body and blood, soul and divinity of Jesus was always considered to be present in the host or the cup. And the Council of Trent considered it quite normal not to have the Eucharist for the laity in both forms. That is why so many 'traditionalist' Catholics even today won't drink from the cup. The rest of us Catholics have gone back to an earlier practice from the Medieval period, although often in Flu season the laity are not offered the cup for good reason.
So while I am happy to partake of both species I need to correct you about the Council of Trent. It saw communion under one species as normal enough, and as a result the Church continued the practice in the Latin Rite up until just after Vatican II. The Catechism of the Catholic Church, in paragraph 1390, doesn't compel communion under both species either.