Think Progress notes that in discussing the story of six gay and lesbian service members who "handcuffed themselves to the White House fence" in protest of the President's slow movement on repealing Don't Ask, Don't Tell (DADT), Fox & Friends co-host had this to say (emphasis added):
I want to get your take on something that happened at the White House earlier this week, because, of course the message from the Obama administration is of course they will be the most transparent White House ever and there was this incident where some members of the military, at least dressed up like that, were handcuffing themselves in an area where typically protests happen and the police chased reporters away and basically said they could not cover the event that was happening.
It's just another example of Fox News' love/hate relationship with the LGBT community. Off-air the network offers workplace protections and health care benefits to LGBT employees and their spouses while on-air its hosts and contributors are dismissive and at times downright homophobic towards the community.
In fairness though, we shouldn't really hold Carlson accountable for such a statement. After all, she's not a real journalists, she's just "dressed up like" one.