The TikTok star, who is the daughter of TV chef Gordon Ramsay, responded to LBC DJ Steve Allen after he called the 19-year-old “a chubby little thing”.
In a post on Instagram, Tilly wrote: “I try not to read and listen to comments about negativity however recently being called out on a national radio station by a 67-year-old man is a step too far.
“Steve - please feel free [to] voice your opinions, however I draw the line at commenting on my appearance. It’s such a shame that someone is trying to make such a positive experience negative.”
Tilly continued: “This isn’t the first and definitely won’t be the last comment made about my appearance and I accept myself.
“But please remember that words can hurt and at the end of the day I am only 19 and I’m so grateful for all the amazing opportunities I have been able to take part in, and I understand that being in the public eye obviously comes with its own repercussions and I’ve been aware of this from a young age.
“However, I won’t tolerate people who think it’s okay to publicly comment and scrutinise anyone’s weight and appearance.”
Tilly also shared an audio clip of Steve’s remarks, which came after a listener informed him she was also appearing on the pre-recorded Celebrity MasterChef Australia.
Steve, who hosts the weekday 4am to 7am slot on LBC, then said: “Is she? Well, she can’t blimming well dance!
“I’m bored of her already. She’s a chubby little thing isn’t she. Have you noticed? Probably her dad’s cooking I should imagine.”
Tilly was supported by a number of her Strictly Come Dancing co-stars, with dance partner Nikita Kuzmin sending a love heart emoji with the hashtag #BeKind.
Pro dancer Oti Mabuse wrote: “What on earth? Love you @tillyramsay some people just have no regard for others.”
Giovanni Pernice added: “Some people are very nasty !! Don’t listen to this crap .. we love You girl ! #bekind.”
Fellow contestant AJ Odudu said: “Well said Tilly! Your beauty radiates inside and out.”
Judi Love commented: “Omggg I am fuming!!! How dear he come for you!! You are so beautiful, as a person with a dam gorgeous body!!!”
John Whaite added: “His vicious scratching has only left you polished and more fabulous. Love you.”
Strictly Come Dancing continues on Saturday at 7.05pm on BBC One.