D.J.
I like combinations of all the answers so far.
I am not completely militant, as I knew there were things I definately would not eat as a kid. I try and get my son to try everything, but I usually have a standby (leftovers, sandwhich.) He had really bad reflux caused by food intolerances as a baby. He threw up after eating a slow cooker stew I made with broccoli, and refuses all things with liquid- stews, soups, etc. I don't do stews/slow cooker much anymore, but when I do, and I know he likes it, I strain the contents before I serve it to him.
I also love the idea below of finding a way for them to help.
There are days when he refuses to eat things he normally eats. Then I get a little more militant ....
Also my son likes to dip. Applesauce sometimes fixes any meat :) If he takes a few bites, and then gets distracted, I pull out some applesauce for him to dip his meat in.. (no sugar added, just apples). We also have a barter system... if he wants one thing really bad, he has to take a bite of something else to get a bite of what he really wants.. like corn or mashed potatoes.
I think you have to try til you find what works, but I like parts of a lot of the answers already here.
As far as timing: if possible, have you thought about just making her whole schedule later? Getting up later, napping later, going to bed later?