Is a chest xray effective for covid.

Hello doctors, My mother(58 years) has been covid positive for a week. Her symtoms have been mild but over the last few days she has developed slight coughing which comes and goes. It is not consistent all the time. We are concerned if this is serious and needs an HRCT scan at this point. Her CRP levels were tested day before yesterday and came around 9.5. We have also sent her blood samples for a follow up Hemogram (ESR), CRP (repeat), and d-dimer tests and will get the results by tomorrow. Could you please suggest if an HRCT chest should be done for her at this point? Can we do a preliminary chest xray instead because that is easily accessible near our place? Can an xray also detect lung abnormalities, if any due to covid. Thanks a lot!