The former Celebrity Big Brother star was this week nominated for the 'Celebrity Mum of the Year' prize from Foxy Bingo, alongside the likes of Katie Price and Victoria Beckham.
"So Rhodri has been offered 5k to comment on me as a mother, and to quote 'more if the comments are negative' f**k off Sun Newspaper!!" Natasha wrote on Twitter.
She had previously written: "I don't need an award to tell me I'm a good mum, or for anyone that doesn't know me, to tell me I'm not! #baffled"
Meanwhile, Natasha's brother-in-law and Manchester United footballer Ryan had a damages claim against The Sun thrown out by the High Court today (March 2).
The Welsh international last month lifted the anonymity injunction he had brought in relation to claims he had an extra-marital affair with model Imogen Thomas.
> Natasha Giggs, Imogen Thomas clash on Twitter over Ryan Giggs affairs
Watch Natasha Giggs's top Celebrity Big Brother moments below: