The 17-year-old, who got to fourth place in last year's X Factor, urged people to stop "believing the media".
She tweeted: "You feel the need to ridicule me,yet you don't know me? And most of its bulls**t. Round of applause for those who hurt me (sic).
"Well quit believing the media and make your own decisions,I'm just a young girl tryna make sumat of her life. X."
When a follower of Lloyd said sorry for their actions, she responded: "You don't need to apologise my love, I pitty you. Have a lovely night."