The mother-of-two had been directly messaged the comment in response to a video she posted to her Instagram story of herself speaking to her followers.
The troll wrote: “You're the most repulsive and ugliest thing I've ever seen, why even bother with make-up?”
Piper posted a screenshot of the message to her story and explained why she thought it was important to share.
“I've posted this message from my inbox to show you all the work and conversations around diversity and inclusion, the everyday reality for anyone who is in the minority category,” she wrote.
“The everyday existence is very different to the positivity campaigns. More work needs to be done."
In 2008, Piper was the victim of an acid attack organised by her ex-boyfriend and she has since had almost 400 operations.
Most recently, she had eye surgery to prevent her remaining sight from deteriorating and kept her followers updated on the results.
“Thanks for all your messages I’m in hospital recovering from my recent eye operation, everything went well. Big thank you to Mr Naresh Joshi and his team,” she wrote on Instagram alongside a photo of her in hospital.
Last year, the former Strictly Come Dancing star opened up about the extent of her acid attack injuries in a bid to encourage more people to speak out on World Mental Health Day.
Alongside a photo of her that was taken just hours after the attack, Piper spoke about the impact it had on her own mental health.
“I remember when I didn’t want to look at anyone. I remember when I didn’t want anyone to look at me. I remember when I was scared of people, scared of men,” she wrote.
“I remember when I was scared of the world. I remember when opening up to people and talking about my trauma and psychological damage just wasn’t possibly.
“Today on Mental Health Day my first meeting of the day is with my therapist. I still go, it still helps and I’m able to talk.”