My kids have been pretty good eaters all along, but they do go through phases where we have issues. I try to make one item w/ every meal that I know they like - that way they will eat atleast that item.
Sometime the only thing you can do is keep trying & have them keep trying. Even if it's only one bite of everything on their plate to get desert. We have 2 main rules when it comes to eating... #1 you have to try everything on your plate to get second of something & #2 if you want desert you have to finish everything on your plate (unless I know they really don't like it). Desert can be anything we happen to have (cookies, cake, pie, icecream, popcicle, pudding, jello, brownies or whatever is in the house).
My almost 5 yr old hated greenbeans & refused to eat them for almost 2 yrs... everytime I serve them I had him eat 1 greenbean (I'd only give him 3 or 4) to get his seconds & they didn't count for the desert rule... about a month ago he ate all 4 of them and told me the were good & wanted more. I jaw hit the floor & I about feel out of my chair... he did finish his second of green beans - which to me was even more shocking. But it took 2 yrs of serving him 3-4 green beans for him to "like" them.
So, all I can say is keep trying and try to serve atleast one item w/ meals that you know she likes... in time she will be willing to try more & find more that she likes.
As for the milk - my kids sometimes drink it better if we add chocolet or strawberry flavor to it... not sure if you daughter will or not, but sometimes it's worth trying.
So you know a few things my kids eat really well are - spagetti, bbq chicken, french fries, fresh strawberries w/ sugar, fresh apples slices, chicken nuggets/patties, mashed potatoes w/ gravey, apple sauce w/ cinnamon, deviled eggs, pancakes w/ sausage links, & cold cereal w/ milk.
Also, don't be afraid to have breakfast for dinner or lunch... sometimes it's better to have an "odd" meal that they will eat then for them not to eat. And try to make it a family meal - meaning everyone has the same stuff on their plate... don't cook special meals for them & another one for the adults - that will only cause additional issues later.
I wish you luck!!! And hope she soon starts trying a bit more for you.