Hi Shaz150 ... that is a very difficult one, as it's not just a case of whether you will be allowed entry into Turkey, it's a question of whether you will even be allowed to check in for your outward flight.
Because passports require to be valid for at least 6 months from date of entry into Turkey, airline check in staff should be checking your passport validity before accepting you, as the airline or tour operator would ultimately be responsible for flying you home again if Turkish officials denied entry.
An urgent passport renewal would be your safest option, but that would obviously be expensive, assuming that you could even get an urgent appointment with the IPS at this stage. It may be worth speaking to your travel agent or tour operator to see what their opinion is, or what the chances are of perhaps switching to a destination which does not have the 6 month passport validity requirement.
David