Given that Baylor is strongly affiliated with the Baptist Church and the Baptist Church is viewed as a conservative religious organization, it is possible that the author made the assumption that the school and its administration is just as conservative as the Baptist Church. In that regards, the author may have just been laying the foundation for the readers as to the what type of school Baylor is (in case they are wondering and have no knowledge about the school).

The sorta comes in that the author may have a bias against conservative schools in general and not necessarily only when it comes to specific political issues. In that regards, it is understandable why you came to conclusion you did when you read it.