Hi and welcome! Sorry to hear about the diagnosis of course, but seen much higher fasting levels than that so don't despair. If you're already low carbing, you're limited on diet changes I guess. Have you been low carb for long? With exercise, maybe you need to look at the timing and type. I find that just ten minutes of fairly intense exercise about an hour after eating brings blood sugars down quicker and further. I think that with your diet and weight (all good) you need to get a meter and do some detailed testing to see what's happening. Test before you eat then two hours after. Keep careful notes of what you ate, what before and after sugar levels were, what exercise you did etc. then you'll get an idea of what's sending levels up, or if they're up constantly and so on. Let us know the results, and perhaps we can help you interpret them.
Also, did you just have fasting tests? An HbA1c would give you a better picture of your overall blood sugar levels as it looks at averages over the previous month or so. I'd insist on one of those. That will also give you a base to measure future progress against, as you'll have those tests again in the future
Good luck!