Likely your cat is a Tortoiseshell (colouration) Domestic Medium Hair (breed). Often people just refer to colouration and not to the breed, like how people call cats “Tabbys”. Tabby is a colour pattern, not a breed. Most common breeds are Domestic Short Hair, Domestic Medium Hair and Domestic Long Hair. Of course there are many other breeds but most shelter cats are just Domestic X’s.
Likely your cat is a Tortoiseshell (colouration) Domestic Medium Hair (breed). Often people just refer to colouration and not to the breed, like how people call cats “Tabbys”. Tabby is a colour pattern, not a breed. Most common breeds are Domestic Short Hair, Domestic Medium Hair and Domestic Long Hair. Of course there are many other breeds but most shelter cats are just Domestic X’s.