This looks the most promising to me. I would stick with turkey as the meat but it gets you all groups and will allow you to keep your milk production up for your LO as well...a common concern with ED while nursing.

I hope you can figure out what is causing her issues.

Have you cut out all common ones? Some of the most likely suspects are cow's milk products, soy, wheat, corn, eggs, and peanuts. Maybe try this for a week (if your baby is not too sick already for you to feel okay waiting that long. If your baby is doing any better within 3 days than I would wait out the week and then 2 weeks. If she isn't better at all by day 3 than I would definitely try the TED... I also think this will be helpful if you do the TED as it is geared toward early childhood and nursing.
Elimination Diet | Ask Dr. Sears
•Eat only range-fed turkey and lamb, baked or boiled potatoes and sweet potatoes (with salt and pepper only), rice and millet as your only grain, cooked green and yellow squash for your vegetable, and for fruit, pears and diluted pear juice. Drink a rice-based beverage drink in place of milk on cereal or in cooking. Do not yet use soy beverage. Take a calcium supplement. (Rice products, such as rice beverage, rice-based frozen dessert, rice pasta, rice flour, and millet are available in nutrition stores.)
Please keep us updated on how your LO is doing. I hope she starts feeling a LOT better soon!!!