No, there are no "proper" pet shops and no "proper" breeders in the GCC to my knowledge. If you decide that a pedigree animal is what you want, you have to source a "real" breeder who loves and cares for their animal elsewhere.

There are so many cats and kittens who want and deserve a good home here but they aren't "pedigreed" animals - give them a chance - go to QAWS, Cats in Qatar or the local vet practice - they can give you good advice, help you choose a healthy animal that has been cared for properly and a friend for life.