The Catechetical Directory (Paragraph 133) makes clear that normally “during a Eucharistic celebration in the Catholic Church” the readings are to be proclaimed by a Catholic. The Directory goes on, however, to allow that “on exceptional occasions and for a just cause, the bishop of the diocese may permit a member of another church or ecclesial community to take on the task of reader.”
You should also select someone who is a good reader and able to speak well in front of a group of people.