Anne, who played Deirdre Barlow on the ITV soap, died at the age of 60 after suffering from a short illness.
Corrie's executive producer Kieran Roberts revealed to This Morning that filming had been suspended for the day following the shock news.
"We did try to film today but within half an our it was apparent that it wouldn't happen," explained Kieran. "We are giving people time to think and remember Annie and pay tribute. The programme will carry on and we will get through this for Annie."
Also paying tribute was and Anne's co-star and close friend William Roache.
"It will take some time to get over this," said William. "She is like a member of the family.
"We all wanted to come in and work today, we had that feeling in our hearts. But when we got here we couldn't do it, when we walked onto set we felt Annie's presence. She was such a joyful presence."
William added: "Today is a tribute to a beautiful person, a wonderful colleague. I know she's gone to happy place."
Anne had been a Corrie icon for 44 years and following news of her death last night, cast and crew from Corrie, EastEnders, Hollyoaks and Emmerdale sent their condolences to the family of the TV legend.
Remembering the character of Deirdre, Kieran added: "Deirdre will be remembered for the dramatic moments but my favourite memories are the comedy onscreen.
"Her pottery, the marrows, the relationship with her mother Blanche and her daughter, Tracy... Most of my meetings with her were punctuated by hugs."
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