For a female age 44 has covid-19 and today is day 9 after she showed symptoms , she's following the meds that doctor gave her , blood test shows anemia, but the scan shows no damage to the lungs, does it mean she's likely going to improve?

The recovery period is variable, but usually within three weeks patients begin to return to their baseline, if there is no chronic illness. Post COVID symptoms may result, and if this occurs further follow up with your physician is recommended. Watch for signs of respiratory distress, shortness of breath and prolonged cough. Continue self isolation and keep her well hydrated.