The cheeky presenter then quipped: "Probably because you'd never see the end product."
Seemingly unaffected by the jibe Hegerty said "that is a very fair point", before continuing with the show.
The joke did not go unnoticed by viewers who took to social media to share their outrage.
One claimed: "Again Bradley Walsh fat shaming! SMH," and another posted: "Bradley Walsh dropping fat jokes on the chase to the chasers. Getting a bit boring and rather rude."
A third tweeted: "I know he was only joking but I'm watching the #TheChase & Bradley asks Ann Hegerty 'would you do Bake Off' she said no & Bradley said ''probably because you'd never see the end product'' personally I thought that was a bit nasty as he was referring to her being overweight."