We have 3 cats and a dog, all rescues. The cats all stay inside our villa at all times as it's just too dangerous to let them out. The dog has no interest in going outside, but that's due to her being severely ill treated before she was rescued.
One thing I do have a problem with is people buying cats and dogs in Dubai. The rescue shelters are inundated with perfectly good cats and dogs of all ages and breeds that are in search of loving homes, which can be rescued with just a small donation to cover costs.
The Dubai Dogs Trust is a charity run tirelessly by one of the EK cabin crew. Have a look at their webpage and you might find someone you can give a good home to!