The woman who is arguably the world's highest-profile transgender voice is somewhat iffy on whether gay couples should be allowed to marry.

In an interview with Ellen DeGeneres that airs Tuesday, Caitlyn Jenner appears to have trouble reconciling her conservative ideology with supporting same-sex marriage.

Here's what the recently transitioned head of the Kardashian clan said:

At first, I was not for it. I thought, 'I'm a traditionalist.' I kind of liked tradition, and it's always been a man and a woman. And I'm thinking, 'I don't quite get it.' But as time has gone on, I think like a lot of people on this issue have really changed their thinking here. I don't want to stand in front of anybody's happiness. That's not my job. If that word 'marriage' is really, really that important to you, I can go with it. And so...

At this point, DeGeneres interrupts. "You're still kind of a little not-on-board with it," said the host, who famously came out as a lesbian in the 1990s while her sitcom was riding high.

Jenner replies: "No, I'm on board. It is going to be pretty much the law of the land. I still feel like I'm okay with that, because I don't want to stand on somebody's happiness."

Jenner's equivocation on gay marriage is -- perhaps not surprisingly -- unusual for an LGBT American: For the vast majority of LGBT adults, there's little iffy-ness when it comes to marriage, according to a 2013 Pew Research Center survey. Fully 93 percent supported gay marriage, but while 74 percent agreed with that statement "strongly," another 18 percent were less adamant, saying merely that they favored gay marriage.

Just 7 percent of LGBT adults said they opposed same-sex marriage.

Opposition to gay marriage in LGBT circles was heavily centered on the bisexual community, who it should be noted wouldn't necessarily be prevented from marrying if it were still outlawed, and among Republicans. In particular, 14 percent of bisexual men opposed it, as did 19 percent of Republicans and Republican-leaning independents. Just 2 and 4 percent of lesbians and gays opposed it. (The sample size of transgender Americans wasn't big enough to report results.)

Jenner might be in the minority here, but her voice is significant. She told DeGeneres in that same interview she felt God put her on Earth to educate people about LGBT issues, and she and E! have devoted an entire reality TV series, "I Am Cait," to the topic.

Yes, the Supreme Court declared in June that gay people have the right to be legally married. Yes, public opinion had already long since decided that gay marriage was okay.

But the fact that one of the LGBT movement's leaders doesn't feel completely comfortable with gay marriage suggests the issue isn't always as cut-and-dry as it appears.