Tabloid reports alleged that the Strictly Come Dancing pair had fallen out in the ballroom following a heated row - and that Danny had been warned about his aggressive behaviour by the show's producers.
The show has since confirmed it issued no such warning to Danny, but the allegations of bullying were harder to shake.
Danny and Amy got the chance to discuss the rumours themselves with Gethin Jones on an episode of Strictly Come Dancing: It Takes Two on Friday evening.
She posted: "Our son is at home and was watching your show with me and is now very upset about what you've said because he knows it is totally not true!" Things did get a little intense the other day in rehearsals, ' with Gethin adding: 'This was Wednesday?' We took a half-hour break and then got straight to it.
I've never felt bullied or threatened by Danny.
"I really want to get this man to Blackpool and then to the finals".
A source close to the show played down the bullying incident to MailOnline, explaining: 'It's been a tough week for Danny and Amy learning their challenging Samba routine'.
Danny didn't comment on the reports directly, instead saying: "The only reason I'm here this far is because of Amy".
"I would never bite the hand that feeds me". I am more than happy.
Petula Langlais believes the hit BBC1 show is throwing the 58-year-old Red Dwarf actor "under the bus".
It's the best dance we have done in the past couple of days since we have been on the show.
"And I'm just happy to go along with it". She's the boss. She wears the trousers.
Danny also collapsed during rehearsals for the Jive earlier in the season. Why would I argue with a Welsh woman!'
Strictly Come Dancing continues tonight at 7pm on BBC One.
To which Amy said: 'Yeah, it's our turn this time!