Yes. Absolutely. A deacon shares in the priesthood of Jesus Christ. The term is no longer “major order” because minor orders were suppressed in 1983. They were redefined as ministries and some were eliminated completely. Now we say that we have the three orders of the priesthood:
Deacon, Presbyter and Bishop.
It is important to note, that the deacon is not a lay man, even if he is married, any more than a married priest is a lay man. A married deacon or priest is still a cleric or clergyman. Our permanent deacons are clergymen with all of the rights and duties of every clergyman. They are part of the hierarchy of the Church.
Getting back to the point of consecrated hands touching the host, this has never been a teaching of any of the 22 Catholic Churches or any of the Orthodox Churches either. No one really knows how this came to be believed. As I said before, my guess is that it’s Thomistic influence.
At the same time, we must remember that while Thomas Aquinas was writing theology, so was Bonaventure. In fact, they were colleagues at the University of Paris. They disagreed on several major points and some minor points too. One of the points of disagreement was Thomas’ position on consecrated hands necessary for touching the host.
Br. JR, OSF