Fellow cook Sharon Wee claimed Haigh's book Makan "copied or paraphrased" recipes and anecdotes from her 2012 book, Cooking in a Nonya Kitchen.
Both cookbooks draw on the authors' childhoods and Singaporean heritage.
Haigh has not yet publicly commented and has not responded to a request for comment from BBC News.
Her book Makan was released in May by Bloomsbury, who have now said it has been withdrawn "due to rights issues".