The 'Want U Back' star, who finished fourth on the 2010 series under Cole's guidance, said in a recent radio appearance that she would only perform with the Girls Aloud singer if she sang live and also hinted that she uses Auto-Tune.
Lloyd has since attempted to quell their feud by claiming that her "little joke" had gotten out of hand and reaffirming her respect for the ex-judge.
"Basically I said something on radio which I shouldn't have said," she explained on Daybreak this morning (February 17). "It wasn't intended to sound as bad as it did.
"All I was saying is that I would love to perform with her live and then I made a little joke... I think it just got a bit blown out of proportion, so I just want to say sorry if she found that offensive."
Lloyd continued: "At the end of the day she was the person who got me to where I am today, so if it wasn't for her I wouldn't be sat here."
The 18-year-old also accepted that she should learn to reign herself in, saying: "[Age] is not an excuse, I still should be on top of it. I'm aware that I'm in the public eye now so word vomit is not good."
Lloyd remained coy on rumours that she is engaged to boyfriend Craig Monk, initially protesting when presenters Kate Garraway and Dan Lobb brought up the subject, but ultimately failing to deny the reports.
> Cher Lloyd: 'Cheryl Cole silence is a shame'
Watch Cher Lloyd in the video for 'Want U Back' below: