I guess in general the landlord really don't care about you having a cat in the house. For the most part you never get to see the landlord to start of with!
As for cats in Doha, there are sooooo many homeless cats here , you can find one or more cats living in trash cans out side your house . They have a real cat "problem" here . Cats are everywhere here !
Just pick a poor skinny kitten of the streets of Doha and give it a home :)