Can hydrocortisone cream hurt your unborn child, if you use it during pregnancy?

Unlikely: Simple topical use of mild steroid creams will cause problems with fetal development. Ingestion of any medication would be a different matter as it enters the circulation. Any ingested med would have its own safety profile for a fetus.

Topical cream: Topical Hydrocortisone creams are usually used on the skin. Only a small amount is absorbed and that can't harm the baby.