YOU SAID:

I am feeling as sick as a sock, since it's raining cats and dogs

INTO JAPANESE

猫や犬を雨が降っているので、靴下のように気分が悪い

BACK INTO ENGLISH

Cats and dogs are raining, so they feel sick like socks

INTO JAPANESE

猫と犬は雨が降っているので、靴下のように気分が悪い

BACK INTO ENGLISH

Cats and dogs are raining, so they feel sick like socks