I only briefly looked at Turkish, and don't consider myself a fluent speaker of anything, except English on a good day -- but if you haven't tackled other non-IE languages before it will be very disorienting at first. To teach EFL to Turkophones, it might be sufficient to gain a "linguist's knowledge" rather than seek any degree of fluency, that is, learn what you can about how the language works, without all the drills and vocabulary. Then, you'll be able to spot the idiosyncracies that they bring to their use of English, because you'll know "that makes sense in Turkish, but it's not how English works". Be sure to scan a written intro to Turkish before deciding how far you really want to go.
Free advice, and I guarantee it's worth every penny. 
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