What do you mean "raise it"? Forever in the house or just until you are comfortable with it going outside? I also suggest wait until you can get a minimum of three. They are social creatures and do much better with other chickens. If you only get two and one dies you can run into issues.
We all have our own opinions and ways of doing things. Some people keep forever house chickens, some raise them inside until they go outside, some raise them in attached buildings such as garages where temperature swings aren't too bad, and some of us raise them in outbuildings where they can have huge temperature swings. There is no right way or wrong way to do this, just the way we choose. Each has its benefits and issues. Just because someone says they never would doesn't mean no one else does and are happy to do it that way.
If you build a cat-proof area you should be able to manage them outside, at least until they are big enough that cats are not a problem.
But to your question, health risks. Is anyone in your family allergic to chickens or chicken dander? If anyone is then you have your answer.
To me there are three specific issues with raising them in the house. One is the potential noise. Some people don't mind that at all, they may keep them in the bedroom with themselves. If it is kept dark they are usually pretty quiet but can get loud if there is light. Will the noise bother you or your family or keep someone awake at night. I don't have a clue with your family and set-up.
They create dust. Part of that is dander, down and flakes of skin that flies off of them. They scratch a lot. If you have a dry bedding in the brooder they can create dust by scratching that into tiny pieces. Some of that depends on what you use for bedding. They poop a lot. If that dries out and gets scratched it becomes part of the dust. Dust is the most commonly mentioned reason for wanting to get the chicks out of the house NOW I see on here. Some people keep them in a spare room, bedroom or bathroom most often, and keep the door closed and the room sealed to try to minimize dust issues.
My third issue is potential small. If you keep the brooder very dry and the water fresh it will probably not smell much if at all. But if it gets wet or the poop builds up enough where it does not dry out it can really stink. This can be managed but will probably require some work on your part.