When applying for Turkish Residency, most people wouldn't need to inform the authorities that they are receiving money from E&M for renting out a room. Turkish Residency is granted to people who can show they have the means to support themselves whilst they are living here. Generally production of a bank statement, showing either savings in the bank, or a regular income from the UK (ie pension) is enough. Unfortunately, the person who was deported also stated that she was receiving income from E&M - which is where she became unstuck, as has already been explained. There doesn't need to be a Turkish word for 'carer' as host families are not employed as such - a more appropriate definition would be 'landlord', for which E&M are paying the appropriate tax, on behalf of host families, and therefore (according to E&M) is acceptable to the Turkish authorities.