Provided your governing deeds do not exclude residents from running a business then I would not see it as a problem.
We have had accountants and an antiques dealer ( his shop was elsewhere but he did store goods in his flat)
You would need to establish what income the business is bringing in so as to ensure that the resident still meets the Financial criteria (ie not too rich)
I guess it also depends on type of business and ensuring it’s not a nuisance to other residents
William Clemmey
Chiefofficer@municipal-charities.org.uk