First of all, relax. Your daughters are very lucky to have a caring, concerned mother. And you are correct to deal with this now while you are home. I have three kids, and my middle was my picky eater.
Picky eaters can happen for many reasons, but it sounds like your daugther is using food as a control mechanism. Her attention-getting strategy is working, so she will keep doing it until you break the cycle. But do not bribe her -- it will give food too much emotional value in the future.
So here are some ideas:
1. The "this is what's for dinner." approach. Put your daughters plate in front of her. Smile and tell her "this is what's for dinner".
IMPORTANT: Deliver this line calmly and quietly without shouting, screaming, or dirty looks. Stay calm at all times!
DO make sure the meal has a variety of tastes, textures and colors so there are appropriate choices on the plate. If she doesn't want to eat it in a reasonable amount of time, say 20 minutes, then the meal is over. The plate leaves the table, she is excused from dinner.
It is entirely the choice of your daughter whether or not she eats the meal. Do not offer another alternative. Do not fix her a snack later. There is no food until the next meal.
She won't starve -- I'm assuming she has no food allergies. You might feel bad, but hang in there. I have a picky eater. It took two meals of doing this and about 24 hours of misery at our house for this to work. That smile and calm demeanor was pasted on my face for 24 hours. I think I won the Academy Award for Best Actress in a Picky Eater Situation. But it worked.
2. Going forward, only introduce one new food at a time. Ask her to try it. If she does, great. If she doesn't, don't worry. Keep introducing the new food. After a few times, she will realize that this is part of the meal, and she will try it. As with my middle daughter, it may take up to 15 times, but it will happen.
3. Give her some "control". Take her to the grocery store and let her pick some things to try (obviously, healthy choices.) Let her help in the kitchen as appropriate. Washing the fruit and vegetables, serving the food onto her plate. Give her two healthy food choices and let her pick one. This will give her a sense that she has control over the situation.
I hope this helps. For more ideas, you might want to look at http://www.healthy-diet-mom.com/picky-eaters.html
Best,
M.