Hi, you have to look at "any" name from business perspective, at the outset it is a product name. Then you have to look at whether the name says something differentiating about the product - not much. Most of the desserts are cold. The biggest limitation is the 'identification / brandability'. So it would not best suited as a brand name for a product.
Then you have to look at whether it can be a company name, or a service name. Service name is out for sure. Company name - may be Cold Desserts would be a better choice if you have to have a company name for a company that specializes in Cold Desserts - but there again, lacks 'whether the name says something distinct about the product (they sell)'.
Hope that helps.