Q. 1. During the Holy Mass, is it required to have a crucifix present in the Church?
A. 1. The cross must be present at or near the altar during the Holy Mass.
Quoting from "Meeting Christ in the Liturgy Library, The General Instruction of the Roman Missal, Chapter V, Arrangement and furnishing of Churches for the Eucharistic celebration," it states: # 270. "There is also to be a cross, clearly visible to the congregation, either on the altar or near it."
That Cross is to be a Crucifix, without exception.
The General Instruction of the Roman Missal, number 308, states: “There is ... to be a cross, with the figure of Christ crucified upon it, either on the altar or near it, where it is clearly visible to the assembled congregation. It is appropriate that such a cross, which calls to mind for the faithful the saving Passion of the Lord, remains near the altar even outside liturgical celebrations.”