It’s very common to have temporary raised BG when we are ill, your body is doing all it can to fight infection etc.
If you feel like exercising than as long as your bloods aren’t too high it may help & sticking to your low carb as much as possible will help too. But just do what you can, sometimes our diabetes has to take a back seat.
I’ve just had a bout of food poisoning & all I wanted when starting to feel better was carbs. I normally do a keto diet. I couldn’t face my normal foods so have been having a little bit if higher carb food, my numbers were up in the 8s which is unusual for me. But almost back in the game today & my BG are returning to normal range for me.
Hope you’re feeling better soon