During an appearance on Conan Tuesday, the Pretty Little Liars star talked more about her dad's reaction to it, holding up the cover and telling Conan O' Brien, "You read from left to right and so my dad sees this and he thinks 'best sex ever' is what I talked about in my interview."
"So I was like daddy, I promise, if you look to the right, it will clearly say my name, but, things got a little misconstrued," she continued. "My dad was a little...he sent me a text message like 'you look great, but the head titles are a little...[much]."
The country crooner also showed the text on the show, which said, "Saw your pic on Cosmo, you look wonderful. Not [too] crazy about the articles beside your photo. Love u," to which Lucy replied, "hahaha thanks daddy. I love you."
Lucy previously shared the text with fans on Instagram last year, along with a shot of herself holding up the cover, writing, "Sorry for the captions dad."
Although the "Lie a Little Better" singer didn't talk sex in the mag, she did dish on her awkward audition for 50 Shades of Grey, saying, "That audition was so uncomfortable! It's exactly what you thought it would be: a big monologue but very, very sexual."
"There were some things that I was so embarrassed to be reading out loud, but it's one of those things where you have to commit wholeheartedly or you're going to make a fool of yourself."