Deb,
You can feed as many times a day as you want or need to. Human diabetics are encouraged to eat several small meals throughout the day, which helps keep their blood sugar more regulated. Until her numbers are out of control, she's going to act like she's starving. That'll calm down as her numbers drop.
You only dose 2 times a day, twelve hours apart, no matter how many meals you feed.
You do not want kitty to eat for 2 hours before her BG test (I know they didn't go well for you in the past, but this time it'll be different!) that you do just before giving insulin.
At shot time (every 12 hours), the sequence is test BG, then feed, then give insulin, in that order. No food for 2 hours prior, but a feeding just before the shot - you need to get food in her before giving insulin, but you don't want that food screwing up your test number by boosting the BG and making you believe it's higher.
Oh, and I am hoping you meant "2 units", rather than "2ml" of insulin? 2ml would be 4 syringes full in a u40 syringe!
Welcome to our group!
Carl