If it is indeed an insect bite then your daughter may need some prescription creams and syrups to relieve her itch.
Next Steps
Consult a dermatologist near you.
Health Tips
You can apply calamine lotion (Venusia Soft + or Dermocalm Lotion) for such cases when there is itching. Those are available over the counter. But without knowing the severity, it is best to go in for a consultation.
Do not apply anything which can irritate the skin like Dettol.
Continue to apply Fucidin Cream also.