Sorry. If you guys are hungry/starving and snipping at each other, you are not dieting correctly. I have lost over 75lbs in the last year. That doesn't mean I get to be a *** head to my wife. And yes, your husband is being a *** head to you.
If you are dieting correctly- why hadn't you eaten since lunch? I am a firm believer of the simplicity of calories in vs calories out. If you eat 1200 calories in one sitting and thats all you ate every day you would still lose wieght- but it isn't healthy from a mindset perspective. You will get hungry. You will get moody. Not saying you are doing that, but letting yourself get to the point of "starving" (your words, not mine) is not dieting properly.
I, nor anyone else, here is judging you on your diet choices. You do what you feel works for you.
I am more concerned with the fact all of this was going on infront of your kid. She is old enough to vocalize she doesn't like pizza due to the pizza sauce so she is probably old enough to understand that you guys are fighting in front of her. And that it is probably over who is feeding her. And all you are concerned about is how you are feeling and your anniversary is coming up. I hope your daughter is okay with you two fighting about who has to feed her. Right in front of her.