Hi there and
to the forums!
I'm sorry to hear your budgie girl is sick! She really does seem to be ill, so getting her to the avian vet as soon as you can would be the best thing for her. Meanwhile, keeping her warm and ensuring she keeps eating and drinking is critical.
The Guardian Angel is good for keeping her appetite up; soak the millet in it just for a minute or two and then offer it to her wet. Most birds love it.
If she doesn't like "wet millet", just give her dry millet and you can replace her water with the Guardian Angel solution.
From the photos, she definitely isn't moulting; the vet will be able to tell you more.
FaeryBee has given great advice and resources, so be sure to read through everything meanwhile. If you have any questions afterwards, please do ask as we'd love to help!
I hope your little girl does well and soon pulls through!
Please keep us posted on her condition