Child admission in delhi for nursery batch in case od sepearted parents but not divorced

Hi, 

I am a mother living seperately from my husband for more than 3yrs.

I have a daughter whose birth-certificate holds her father's name.

I have initiated a criminal case against my husband on the grounds of cruetly mental and physical abuse.

The case is ongoing in the magistrate mahila court.

Since I have not filed for divorce yet, do my child admission will have any implication as the father will not accessible nor any documents can reacjed from him. Can the school reject the application