The Sparrow

The book for March is Mary Doria Russell's debut novel about first contact with Aliens, which is by Jesuits.

From the Amazon review:

This strange, ambitious science fiction novel has already won enough attention for its first-time author to make it a selection by both the Book of the Month and QPB clubs. Father Emilio Sandoz, a Jesuit linguist, heads a team of scientists and explorers on an expedition to the planet Rakhat, where contact has been established with two apparently primitive races, the Runa and the Jana'ata. The narrative shifts back and forth between 2016, when contact is first made, and 2060, to a Vatican inquest interrogating the maimed and broken Sandoz. A palaeoanthropologist, Russell makes the descriptions of the inhabitants of Rakhat both convincing and unsettling.

http://www.amazon.co.uk/Sparrow-Mary-Doria-Russell/dp/0552997773

and from Wikipedia:
The Sparrow (1996) is the first novel by author Mary Doria Russell. It won the Arthur C. Clarke Award, James Tiptree, Jr. Award, Kurd-Laßwitz-Preis and the British Science Fiction Association Award. It was followed by a sequel, Children of God, in 1998. The title refers to Matthew 10:29-31, which relates that not even a sparrow falls to the earth without God's knowing of it. http://en.wikipedia.org/wiki/The_Sparrow_(novel)