A cold and cough during pregnancy is common and usually doesn't affect the baby. Steam inhalation, warm fluids and rest help the most, and paracetamol is generally considered safe for any fever or body ache.
Next Steps
Avoid cough syrups and over the counter cold tablets unless your obstetrician has approved them, since several common ones aren't advised in pregnancy. Gargling with warm salt water eases a sore throat.
Health Tips
Please see your obstetrician if the fever stays high, the cough lasts beyond a week, or breathlessness develops.