I agree with Alice, a half an hour is too short to know if there will be an issue.
Birds can trigger asthma attacks. Cockatiels produce a lot of feather dust, as well as many other birds. This dust is so fine it travels through the air easily. If you suffer from asthma you will need to make sure the cage is cleaned daily as well as the area around it and never have the cage in your sleeping area. Bathing your bird will help quite a bit. It is manageable, but you do need to be very careful and diligent in your cleaning ritual. An air purifier will help, but do not get an ionizer it can be very dangerous for your bird.