Hello! I'm so sorry your DD is sick! It's so hard when they are so miserable and you feel like you can't do much!
It sounds like she wants to nurse but can't due to her stuffy nose. One thing that you can try, and to warn you ahead of time, she will not be at all happy about this - is some saline nasal spray. You can get it over the counter and it's totally safe - there is nothing in it that is addictive or anything like that. You'll want to squirt some of that up each nostril, then take your bulb syringe and suck it out. She will be very unhappy but this will really help unclog her nose so she can nurse.
You can also run a humidifier near her sleeping spot at night if your heat has been on and the house is dry... not sure if that's an issue where you live now but here in Michigan, homes can get quite dry in the winter. I've had some luck with vapor bath, if you want, or just a plain bath or shower will make some good steam and that will help too.
In the meantime, I'd go ahead and pump to your comfort - if she will take that in a cup for now, that would be great. You could pump as often as she would usually nurse.
From what you said, it sounds like she WANTS to nurse, but can't, and I think that's a good sign! It doesn't take much mucus to clog up a little nose, and I think once you get that resolved, she will be back to nursing again. Please do be careful with decongestants, if you are using them, make sure you check and double check the dosage for her age/weight so she isn't getting too much.
