Welcome to your new life. This is pretty much how kids operate, don't buy into it. This is your lot for the next 20 years or so. You can imagine that with 4 kids I have one happy person at every meal I cook and 3 unhappy people - and to add an extra layer of complication - what they *loved* last week, they now *hate* - and I should know that.
It sounds like she actually has a pretty good and varied diet. Remember, most of the world's population don't have the smorgasbord we have available to us. Give her what you are eating - but don't take it personally if she tells you it's not to her taste. Now is a time to make some rules. For us it was eat what we eat - or the only alternative is fruit.
Sometimes it's a power play - how cool - the power to make mum cry. Just what every 2 year old craves. Put on your hard hat and buckle up for the ride.