Is it permissible to take profits resulting from participation in Sawa cards? Is it permissible to use them to pay off debt? And is it permissible for the wife to take these profits to buy necessities for herself and her children if she is in dire need of them?

A Muslim must ensure that a transaction is free from what Allah has forbidden. The profits from a company's shares are halal (definition) if they result from permissible activities. However, if they originate from forbidden acts or usurious loans, then they must be disposed of by spending them on public Muslim welfare, such as the poor and the needy. The shareholder or his poor children may take from it according to their needs. If the profits result from both permissible activities and usurious loans, then only the usurious return should be disposed of. This can be ascertained through the company, and if not known, then by common assumption.