The 38-year-old TV presenter and disability rights campaigner complained after The Sun newspaper reported the rumours under the headline "Cha Cha Chair".
The TV star has been housing the family for months.
The rugby player said he and his dancer fiancee have 'been through the wringer' over the past nine years.
Disability campaigners have highlighted the shocking prejudice from some Strictly fans on social media.
Dianne Buswell and Joe Sugg have been together since 2018, but fans feared they'd split after spending Christmas apart.
The 62-year-old TV star and dance champion said she feels the best she's ever felt after undergoing the cosmetic procedures.
The professional dancer said remembering the hardship he had been through pushed him to work harder.
The Newsnight host hopes her role on the current affairs show won't prevent her doing reality TV.
The dancer revealed the results of her weight loss on Instagram.
Gemma Atkinson has taken to Instagram to debunk claims fiancé Gorka Marquez is set to quit Strictly
The full celebrity line-up has been confirmed for the festive special.
The pre-recorded sequence featured the dancers as snowflakes and judge Craig Revel Horwood in drag as The Snow Queen.
The stars of Strictly Come Dancing found themselves stranded at Elstree TV studios in the snow.
The former prima ballerina said Strictly producers didn't want her to act like a ballet dancer on the show.
The tour kicks off in January.
The comedian was pictured kissing his Strictly dance partner in 2018.
The tough judge told rival Will Mellor he could "teach Tyler a thing or two" about hip rotation.
The couple met on 'Strictly' in 2013 and have a six-year-old daughter together.
Seann Walsh's comedy career dramatically stalled after kissing Katya Jones on 'Strictly Come Dancing'. Now he's giving things a second try on 'I'm A Celebrity'
The retired footballer and his dance partner admitted they were arguing on the show - because Adams finds Jones "over critical".
The former England manager was caught on camera having a heated discussion with his dance partner following the mistakes in his Salsa.
A spokesperson for the show insisted the judges 'adore each other'.
The 32-year-old wildlife cameraman stopped cutting his hair 17 years ago as an act of rebellion.
The former 'X Factor' star was warned her powerful Salsa lacked finesse.
The retired footballer has said sorry for shouting at Shirley Ballas over her low score the week before.