Are you running a social enterprise?
One test for a non-profit or charity that believes it is operating a social enterprise: what are you selling? It could be that you are operating with an entrepreneurial mindset within your organization, but if you are not selling a good or service into the marketplace, you aren’t running a business: you may be running a social program, but not a social enterprise.
And a test for a traditional business that believes it is operating a social enterprise: to what degree do social / environmental goals steer your ship? If profit is paramount (and particularly if individual owners or shareholders are personally benefitting), you may be engaging in socially conscious purchasing or corporate social responsibility, rather than operating a social enterprise.
Another possible definition: A social economy enterprise operates like a business, produces goods and services for the market, but manages its operations and redirects its surpluses in pursuit of social and environmental goals. (from Western Economic Diversification).
An equally noble goal of social enterprise (aside from generating revenues to pursue a mission) is the training and/or employment of people who are typically excluded from the mainstream economy, thus creating capacity and self-sufficiency for individuals, and impacting their communities and lessening reliance on the social safety net. This element alone can denote a social enterprise.