She can file the criminal complaint in her hometown or the place of current residence.
As you rightly said, the police would do the investigation in a mechanical manner alone in the absence of the physical presence of accused before them.
The police may ask you to come down to India, once you are here, then they may immediately register FIR and then may even request the court to direct you to deposit your passport before court in order to prevent you from escaping to abroad after granting bail
Once your passport is held in court deposit then you may not be able to travel abroad or continue your profession in abroad.
This may spoil or even ruin your career.
You may think about responding to the police if they send you any notice in this regard