anyone here also working out/going to the gym?

i’m a 5’3 - 5’4 girl, around 55kg (never been above 50kg before diagnosis) and with t1d being recently diagnosed in december it’s been hard for me to lose fat. i’ve been trying to eat more protein and build muscle, and i’ve been going to the gym since december too. i have no idea how i should go about cutting fat, because controlling my blood sugar and not eating back my calories in hypo snacks is hard when i go low at the gym easily. i’ve tried adjusting my basal insulin from 13u to 11 - 12, but then my blood sugar is high the whole day. does anyone have any advice on how i can build muscle and lose fat?