If some aspect of running the business is causing nuisance, then it is likely that you could apply the general by-law that most places have on nuisance. This prohibits anything that causes an unreasonable or substantial nuisance, or words along those lines. I expect the owner and the tenant of the property would usually be held to be jointly and separately liable in Qld as in the ACT and elsewhere.
On the other hand, if the conduct of the hairdressing business is not causing any substantial nuisance, why worry about it? In that case, just deal with the smoking directly via the by-law on that. You could require the tenant to notify the clients that it is a non-smoking site.
Another possibility is that the business would be contrary to local council rules in a residential area but that might be drawing a long bow. Lots of people conduct small businesses from home.