The comedian will play 15 nights in Glasgow and three in Aberdeen on his new tour.
ITV said the reality television show's production base was damaged during Storm Arwen on Friday evening.
The intrusion is thought to have occurred earlier in the week at Gwrych Castle where the show is filmed.
The veteran broadcaster was involved in the transmission of the Monarch's festive speech between 1986 and 1990.
Daughter stars in King's Theatre panto which for years featured the late renowned actor Andy Gray.
The singer's first album in six years has broken records in its first week of release.
The show will be pre-recorded from Gwrych Castle in Wales over fears the live satellite link could be affected.
The Scottish comedian sold out the Glasgow venue for a record 19 nights in 2018.
Organisers have also announced the dates acts will appear at the Glasgow Green music festival.
The magical festive trail opened in Edinburgh on Thursday and will run until January 2, 2022.
Madeley was taken to hospital after falling unwell during the night.
The TV presenter was seen by an on-site medical team before being admitted to hospital as a precaution.
Wardpark Film and Television Studios has been bought by Hackman Capital Partners and Square Mile Capital Management.