Well meat won't raise your BG levels, so that's good. But some of the accompaniments might. Plus eating only meat is quite limiting and not really recommended for most people.
While there are obvious things like cakes, biscuits, sweets and sugary drinks that you will want to cut out straight away, you might be surprised how much *all* carbohydrate affects your BG levels, including rice, pasta, potatoes, bread, pastry, grains, cereals and many fruits. That doesn't mean you have to never have any of those things... but keeping an eye on portion sizes, and perhaps looking for some swaps or alternatives may be a way forward (eg swede and celeriac mash, rather than potato mash, perhaps with some cheese in it to boost the flavour?)
Perhaps it would be helpful to keep a food diary for a week or two. Note down everything you eat and drink, along with an estimate of the total carbohydrate content (not just 'of which sugars') in your meals and snacks. It might sound like a bit of a faff, and will involve weighing portions, squinting at the fine print on packaging, and possibly looking up things on the internet, but it will give you a really good idea of which foods are the main sources of carbs in your menu. Once you can see which meals or snacks are your ‘big hitters’, and where carbs might be unexpectedly lurking, you can think about how to reduce portions, or look for some possible swaps and alternatives?