ITV says there are “contingencies in place to cover all weather scenarios”.
I’m a Celebrity… Get Me Out Of Here! was forced to abandon the live element of Friday’s episode as Storm Arwen hit north Wales.
The Met Office has warned of high winds likely to cause injuries in Wales and other parts of the UK.
ITV instead broadcast a pre-recorded show, filmed in Gwrych Castle, Conwy, as a precautionary measure.
Meanwhile, the crew of a rowing boat were rescued from the sea off the coast of Ceredigion after capsizing.
The broadcaster said presenters Ant McPartlin and Declan Donnelly recorded their links earlier on Friday.
“Our celebrities will remain inside the castle, which is secure, and we have contingencies in place to cover all weather scenarios to ensure the safety of our cast and crew,” ITV said in a statement.
Earlier on Friday, a rowing boat capsized with four people on board as it was heading from Ireland to Aberystwyth. One person was airlifted to hospital with head injuries.
Meanwhile, hundreds of properties experienced power cuts in Bridgend, Swansea, Cardiff, Pembrokeshire, Carmarthenshire, Ceredigion, Neath Port Talbot and Blaenau Gwent.
The A548 Flintshire Bridge at Connah’s Quay was closed because of strong winds, the council said.
And in Carmarthenshire, Dyfed Powys Police said a section of the A48 east of Carmarthen was closed after “a number of collisions”.
An amber wind warning covering most of north and west Wales is in place until 09:00 GMT on Saturday.
A yellow warning for wind covers all of Wales until 18:00 on Saturday.
Forecasters say damage to trees and buildings, with risk of “injuries and danger to life from flying debris”.
The RNLI has urged people to stay safe near the coast as severe weather makes coastlines particularly dangerous.
The windy weather is likely to cause bridges and roads to close, and in some areas winds could exceed 70 mph.
Saturday’s amber warning covers Carmarthenshire, Ceredigion, Conwy, Denbighshire, Flintshire, Gwynedd, Anglesey, Pembrokeshire, Powys and Wrexham.
Road, rail, air and ferry services may be affected, with longer journey times and cancellations possible.
Network Rail said speed restrictions would be put in place to keep passengers safe.
They will be introduced on services between Carmarthen and Fishguard, Flint and Holyhead and some sections of the south Wales mainline from 18:00 on Friday, running into Saturday.
Forecasters warned people living in or visiting coastal areas that “danger to life is likely from large waves and beach material being thrown onto coastal roads, sea fronts and properties”.
One mountain rescue team has urged people to be aware of the dangers of freezing temperatures and “exceptionally” high winds.
“It’s time to think about carrying additional layers, fully charged torches and being prepared to change your plans or routes,” advised Ogwen Valley Mountain Rescue.
BBC Wales weather forecaster Derek Brockway tweeted that Wales would face “strong to severe gale force winds”.
The Met Office predicted temperatures could turn “frosty in places” over the weekend, with warmer temperatures by Monday.