Travelling to Dubai is fairly easy. Cats must travel as manifest cargo so it's easiest to do it through a relocator as they will need to be booked as cargo and checked in at the cargo section of the airport. It will need to be fully vaccinated and micro-chipped and have both an import permit and an export permit. What kind of cat is it? If it is a persian or persian mix or any other cat with a flattish face then it can not travel on Qatar Airways or Emirates. You will need to arrange for someone to get an import permit it Dubai on your behalf. I think Qatar Pet Relocators usually works with Brit Vets or DKC (but they are more expensive). It would need to fly on a night flight as the temperatures during the day are too high for an animal to be on the tarmac (and with all the best will in the world it will still be outside for some time).