It's hard to say at this point, or even after. It's on a nexus of vague things. First "internet laws" have a history of leading to nothing much, like the EU "cookie law" which everyone "complies" with by popping up a nag. Second because online jurisdictions and how these get enforced is ambiguous. Third, because the enforcement path is still pretty unclear. It may be all about a handful of high priority cases, with small sites getting a pass.
Ultimately, there are all sorts of laws all over the world. With an online, potentially global business, you're breaking some of them. Turkey does not really expect some international user generated content site to comply with their political content laws. A bigger site based in Istanbul... You'll get a knock on the door.
About ten years ago, I had a client with an e-commerce site, for workplace safety gear in Australia. They sold to the US, but rarely. During bird flue, they somehow got on the radar of some US advertising standard. There were some politicians actively policing it anyway they could (not courts).
Tldr is that they had their payment gateway and PayPal shut them down immediately (someone got scary phone calls). Even shutting off all US shipping, and adding a big red "No US" sign didn't help. They had to drop the products. So.. jurisdiction is often erratic.
I think the last (possibly most important) point is cultural. If it takes, GDPR may impact consumer expectations and you may need to do it for that reason.
If you want to avoid GDPR, just hold back for 3-6 months until after the date. It'll get clearer as it progresses and if you're as outside the purview as you suggest, you're probably going to be fine ignoring it at the start (or forever).