Hi Katiuska.
Maybe perhaps the moving lady was going by her company rules and made it look like you can't bring any food into the UK,
When I came here I brung a lot of American chocolates and treats like hersheys,twinkies,jolly ranchers,tootsie rolls and etc. I didn't have to declare anything. One thing I would recommend though,is if you are bring food with you , bring it with you on your carry on luggage. I made the mistake of putting it in my suitcase in my check in baggage and it ended up getting squashed,melted and totally ruined.
Edited: I did a search for you for all food items you are
unable to bring to the UK from USA, they are as followed:
These are valid from 15/10/2004 information from:
http://importdetails.defra.gov.uk/Default.aspx?Location=None&Module=IDDSearch ]From: USA
Category : Chestnuts Products in Category : Chestnuts
Import Rule : You cannot bring back any of these products to the UK. From:USA
Category : Citrus Fruit plus Kumquat Products in Category : Bergamot , Bitter Orange , Calamondin , Chironja , Citron , Clementine , Dancy , Golden lime , Grapefruit , Ichang lemon , Kaffir lime , Kumquat , Lemon , Lime , Limequat , Mandarin lime , Mandarin orange , Minneola , Orange , Orangelo , Orangequat , Pummelo , Rangpur , Rough lemon , Satsuma , Shaddock , Shekwasha , Sweety , Tachibana orange , Tahiti lime , Tangelo , Tangerine , Tangor , Ugli
Import Rule : 2kg total of all citrus fruit and kumquats
From:USA
Category : Egg products Products in Category : Dried Egg , Egg noodles , Mayonnaise , Omelette
Import Rule : 1kg total of all egg products From:USA
Date Valid From : 15/10/2004
Category : Eggs Products in Category : Eggs (all birds' eggs)
Import Rule : 1kg max From:USA
Date Valid From : 15/10/2004
Category :
Fish/ Fish products Products in Category : Anchovy , Bombay duck , Cod , Fish (cooked other) , Fish (cured other) , Fish (dried) , Fish (other fresh fish) , Fish (smoked other) , Fish products (other) , Fish sauce , Haddock , Oyster sauce , Salmon , Sardine , Shark's fin , Shutki , Sole , Trout , Tuna
Import Rule : 1kg max
From:USA
Category : Fruit (restricted) Products in Category : Apples , Apricots , Blackcurrants , Blueberries , Cherry , Cranberry , Custard apple , Date Plum , Gooseberry , Guava , Jambolan , Mango , Passion fruit , Peach , Pear , Persimmon , Plum , Quince , Redcurrant , Rose Apple
Import Rule : 2kg total of fruit (restricted) From:USA
Category : Fruit (unrestricted) Products in Category : Other Fruit
Import Rule : Any kg of unrestricted fruit
USA
Category : Honey Products in Category : Honey , Honey (products containing honey)
Import Rule : 1kg total of honey and products containing honey From:USA
Category : Meat/ Meat Products Products in Category : Bacon , Beef , Beef Jerky , Biltong , Bushmeat , Chicken , Game , Ham , Insects , Jerk pork , Meat (other) , Meat paste , Meat pies , Meatballs , Meatloaf , Mince parathas , Pate , Pork , Poultry , Reptile meat , Sausages , Turkey , Venison
Import Rule : You cannot bring back any of these products to the UK.
From:USA
Category : Milk/ Dairy Products Products in Category : Butter , Cheese , Concentrated milk , Cottage cheese , Cream , Dried milk , Ghee , Khoya , Milk , Mithai (milk based) , Other dairy products , Paneer , Yoghurt
Import Rule : You cannot bring back any of these products to the UK. From:USA
Category : Potatoes Products in Category : Potatoes
Import Rule : You cannot bring back any of these products to the UK. From:USA
Category : Shellfish Products in Category : Oysters , Prawns , Scallops , Shellfish (other) , Shrimp
Import Rule : 1kg total of all shellfish
From:USA
Category : Vegetables (restricted) Products in Category : Aubergine , Bitter cucumber , Bitter gourd , Celeriac , Celery , Sweet basil
Import Rule : 2kg total of restricted vegetables From:USA
Category : Vegetables (unrestricted) Products in Category : Other Vegetables
Import Rule : Any kg of unrestricted vegetables 
