We are usually not hungry when we are sick. This is because the body uses its own energy to heal and when we eat, the energy goes into digestion. The best thing is to drink lots of liquids, like water, tea, juice, soup... This way the body doesn't have to do much for digestion. What is anti-inflammatory and anti-infective?
Lemon, lime, ginger, turmeric, manuka honey (although I don't recommend it because of the extinction of bees), horseradish, shiitake and reishi (medicinal mushroom) preferably as an extract, rockrose/white-leaf rockrose tea, Artemisia anua as a tincture or tea...
Hope this helps. Get well soon π