Use the Aka Bank machine in the Main Street near the exchange shop, they pay out in Sterlng. The machine does not charge you, it is your bank that charge you to draw money from the machines. When the menu comes up on the machine pick "English" as your language and follow the instructions you will be asked what you want to draw and in which currency.
In your first message you said you were using a Nationwide Card to draw Sterling so now are you using a Finans Card or still using the Nationwide Card? If you are drawing money with a Finans Card you need to ask Finans do they charge to draw Sterling if that is what you want to do. I doubt they will charge to draw Lira.
When you come back home, get a Halifax Clarity Card, then you can pay your bills over in Turkey easily, It is No.1 Card to use abroad, on Martin Lewis's Website, just make sure you pay up your account with the Halifax every month.