Your doctor did not give you any medcine because a couple of years ag they took all dcongestants, cough, and cold medcines, for kids under 6 I believe, off the market. I would think a good doctor would have at least given you more advice than just TLC. If it has been a week and she is not better or seems to be worse, take her back. If she is coughing, I think you would want her coughing stuff up. My friends daughter ended up with pnemonia after a cold because she could not cough stuff up and it settled in her lungs.
The steam room is great, you can lay her on her stomach over your legs and pat her back a little to help loosen stuff up too.
Give her warm liquids not icy cold. If her throat hurts at all, the warm liquids are soothing and cold will be a shock and make it hurt more.