Cheney's sister Mary is married to a woman and has criticized her sister for her opposition to same sex marriage, but Liz Cheney stands by her beliefs.
"I love Mary very much. I love her family very much," Liz Cheney said on "Fox News Sunday." "This is just an issue on which we disagree."
She also reiterated that she opposes a consitutional amendment banning same sex marriage because she feels it is a state issue.
A conservative super PAC has already attacked Cheney for appearing to be inconsistent on same-sex marriage.