Actress and LGBT activist Ellen Page appeared on the "Late Show" Tuesday night and discussed LGBT rights, religious freedom, and her new movie "Freeheld" with host Stephen Colbert.

Page, who came out publicly in 2014, said she embraces her new role as an advocate for the community.

"I feel so grateful for it," she responded. "I feel so grateful to feel how I feel now, compared to [how I felt] when I was a closeted person. It's not a nice place to be."

Colbert and Page also discussed some people's conflicts between religious liberty and LGBT rights. "What do you say to people who say their religious rights go ahead of, perhaps, your marriage rights?" Colbert asked.

"Well what I would say to that is religious liberty and religious freedom is so so important—it's so so crucial," Page began. "What's unfortunate throughout history is religious liberty has been used to justify discrimination based on gender, based on race, and now it's the LGBT community."

The topic of religious liberty has made headlines throughout the year. It cropped up with Indiana's controversial "religious liberty" bill, which would allow businesses to discriminate against same-sex couples because of religion.

In June of 2015, the U.S. Supreme Court ruled that same-sex marriage was legal across the nation. Since the decision, there have been recent arguments over Kentucky clerk Kim Davis, who refuses to issue marriage licenses to LGBT couples based on her religious beliefs. Davis was found in contempt of court after a judge ordered her to issue marriage licenses and was jailed briefly for refusing to do so.

Many public figures, including actor and LGBT activist George Takei, have pointed out the gaps in Davis' religious freedom argument.