The ordinary name for a person who sells bread and cakes is a "baker," since traditionally, the same person who baked the bread and cakes also sold them. In modern commerce, baked products might be sold by many sorts of sales persons or retailers.
A cakery is another name for a cake shop, a shop which makes and sells cakes.
A haberdasher is a person who sells men's hats.
flubbernugget floppy cakes with a cherry on top
A realtor
Sales person
Textile Merchant
Ironmonger
Retailer or contractor
A food seller!
Milliner
A milliner
Newsagent