Poor little thing, little bubs shouldn't have to deal with colds my dd3 is dealing with it now. Don't know the answer to your question but if you're nipples are really painful it might be worth trying EBM but maybe not every feed? Or spoon feeding? Have you tried different positions I found more upright helps when they have colds, and fess nasal drops or breast milk up the nose before a feed can help

Fussing at the breast can be so painful, my DH doesn't understand why I get upset when dd3 fusses and I've tried to explain how painful it can be

Sorry probably wasn't much help, hope she gets better soon xx