During a recent sit down with Ellen DeGeneres, airing September 8, Ellen asked Cait exactly that question.
"A lot of Republicans...I don't want to speak for everyone, would vote against all the issues that you, as a woman and you as a trans person, would want someone to support," she said.
"I would agree with that in some cases," Cait replied. "I have to admit that I remember 15 years ago, 20 years ago, whenever it was the whole gay marriage issue came up at first, I was not for it. I mean, I like tradition and it's always been between a man and a woman, and I'm thinking I don't quite get it."
"But as time goes on, like a lot of people on this issue, I've really changed thinking here to, I don't ever want to stand in front of anybody's happiness," she continued. "That's not my job, OK. If that word 'marriage' is really, really that important to you, I can go with it."
When Ellen pressed her again, saying it doesn't sound like she's totally "on board" with it, Cait confirmed that she is, saying again that she doesn't want to stand in front of anybody's happiness.
As far as her own love life, Ellen asked about that, too, specifically when it comes to her close friendship with Candis Cayne.
To see the rest of Caitlyn's interview with Ellen, tune in to The Ellen DeGeneres Show on Tuesday, September 8.