Tanis, that must be so frustrating for you. I am one of those infuriating people who lost weight without even trying - literally!
Having got that confession out of the way, I'll try to put something to you.
When I was diagnosed, I didn't carry a lot of weight, although what weight I did carry, I carried around my mid-section, which is the most unhelpful place for diabetics. However, just three years ago, there wasn't quite so much focus on losing weight and more on getting the blood numbers down. I reckoned, for me, I would be content if I had good blood numbers, but still a little spare around the middle, whereas I knew I wouldn't be happy to be ultra trim, but still have unsatisfactory bloods. The result was I gave myself one goal, and that was to improve my blood numbers, and that goal just shifted a bit over time, as I achieved one goal, I would set another a further bit lower, until I got to non-diabetic HbA1c levels.
I didn't weigh myself for the first four months, so I couldn't tell you when I started trimming up, my clothes just seemed looser after a while. Actually, looking back, it was quite liberating not knowing.
My way of eating also changed over time, as I discovered, by home testing, additional foods I could or couldn't eat. I have never called my way of eating LCHF, except on here or any other diabetic website. I refer to it as reduced carb (because it is) with balancing fats (balancing to stop me losing weight and keep my energy levels up). I tried to keep it pretty simple.
Provided you are feeling well, and enjoying the food you are eating, it probablt doesn't make sense to make too many further changes too soon. When we are newly diagnosed and change our diets (
and this bit is important), our bodies tend to resist this change and try to keep things as they were before. It does this by using it's stores to continue the status quo. Often we will see folks say their bloods aren't coming down, even though they're being very strict with themselves? Well, that's the body using it's stores in the liver to keep their bloods up, where it feel comfortable. The same can happen with weight loss. However, more often than not, the body eventually gets the drift that the change is here to stay and the numbers come down, or the weight starts coming off.
Some folks do have specific issues losing weight, whether that be hormonal, some meds they take or sometimes judging their diet a bit wrongly. I personally found, when I started tracking my carbs that those non-starchy veg can all add up, if one is a veg muncher, like me!
I'm not suggesting you are doing anything wrong for an instant, just trying to make a balanced post and making sure I'm not saying it's all too easy. It isn't.
Good luck with it all. Listen to your meter, and don't panic. You'll get there.