@TillymintinLondon An injectible, I can only thinks of 2 categories of injectibles and they are both for seriously high longer term Blood Glucose as shown by a high HbA1C test. Do you know what your HbA1C level was?
Fondaparinux (a blood thinner) doesn't appear to be a problem for a diabetic, though I'm unsure about the accuracy of the HbA1C tests with your condition. It don't see any interactions with diabetes drugs listed for it, though you might ned to avoid eating Avocado (not sure why) unfortunately Avocado is something that a lot of Low Carbers eat as a source of vegetable fats.
So far as eating Low Carb is concerned, it is just cutting down on the food that makes our Blood Glucose spike too high.
Carbohydrates are sugars and starches, so are quite high in many 'so-called healthy' foods such as grains and fruit. Even 'whole grains' and fruits aren't good for most of us - especially tropical fruit like banana, mango, pineapple, grapes etc. But berries - strawberries, blackberries, raspberries are OK for almost all of us though some may have a problem with blueberries (depending upon how ripe they are). So you see the problem is with all sugars, not just added sugars, so you need to look at the back of food packaging to see the total amount of carbohydrates per 100gm rather than just go by the 'traffic lights' on the front.
Fortunately there are 3 types of macro nutrients (carbohydrates, Proteins and fats) and Carbohydrates are the only one that is not required for life - so in theory we could live completely without them. All the vitamins and proteins and fats we need are contained in the fats and protein which don't spike our Blood Glucose. Animal sources of proteins and fats are more 'bio-available' than vegetable ones, meaning they are a richer, denser source than from vegetables.
I eat eggs, fish, meat (with the fat on), hard cheese, butter, full fat yogurt, berries, above ground veg, nuts, olives etc. So I don't feel deprived. I can even eat small quantities of dark 90% Lindt chocolate (up to half a bar is only 7gms of carbs), and drink dry white wine, most red wines (if not too sweet) spirits (with a zero carb mixer) but most beers are too high in carbs for me.