The title is a little general and I am sure does not apply to all Catholic institutions everywhere but I think this story* about a Catholic academy's refusal to let a woman referee a boys' basketball game speaks volumes; mostly about the strong connection--one we often refuse to see unless it smacks us in the face--between religion and sport.
Well this one was of the smacking variety. The school, St. Mary's Academy in Kansas City, MO (apparently it's okay to name your school after a woman so long as no actual, living women are able to exert too much power within it) would not speak to reporters about why they would not let referee Michelle Campbell work the game but according to other referees a woman in a position of authority over boys was against the academy's beliefs. [The story notes that this is not your run-of-the-mill Catholic school; they adhere to older (read more discriminatory and reactionary) versions of Catholicism and are run by the Society of St. Pius X whose former leader was excommunicated by Pope John Paul II. I think you get the picture.]
One of the amazing things about this story--after you get over the whole they aren't letting women--the people that frequently raise and teach boys--have positions of authority over boys is that Campbell's fellow referees refused to call the game when they heard what was happening. Others who were not there that night have said they will not ref games at the school under such circumstances. The Kansas State High School Activities Association is looking into the situation but a representative said that if this is a written policy then the school will not be allowed to compete against member institutions in the future.
The idea of sanctions do not seem to phase St. Mary's though. In 2004 they forfeited a football game because they did not want to play against a team that had a girl on its roster.
*I received word of this story twice yesterday: once on the women's studies listserv I subscribe to and again from the sport sociology listserv. It makes me happy when so many people see the potential teaching moments in sport and especially a story about sport, gender, and religion. The feminists didn't write it off to that evil patriarchal sport system and the sport sociologists see it as a key example of a gender discrimination that deserves analysis.