I've had a similar experience with Ankara. They approved my DTV a couple of days after my intended date of arrival. In the mean time I had changed my plans. They do not answer e-mails, but I got replies on Facebook messenger. However, they weren't very useful, they just told me to wait basically.
If you already have a flight booking (I did not have one), contact them on messenger and show it to them. This may help.
Mine took several months to get approved, but I did apply well in advance. If you submitted all necessary documents, you should be fine. They don't seem to be particularly picky or demanding, they're just very slow.