I was exactly the same during the first trimester. My lows happened frequently and so quick that most times I didn't really have time to prevent them so I had dextrose and Lucozade spread out in the whole house.
I did see my diabetes team every two weeks from start of pregnancy and more often towards the end, They should really see you regularly and not just once a month every trimester, I find that slightly odd. I'd push for more appointments too. Good luck!