Does Catholic teaching categorically reject the death penalty?
No. However the Catechism has this to say: “Assuming that the guilty party’s identity and responsibility have been fully determined, the traditional teaching of the church does not exclude recourse to the death penalty, if this is the only possible way of effectively defending human lives against the unjust aggressor. If, however, non-lethal means are sufficient to defend and protect people’s safety from the aggressor, authority will limit itself to such means, as these are more in keeping with the concrete conditions of the common good and more in conformity with the dignity of the human person” (CCC 2267).