1. Yes, she can in current situation post recent child birth psychologically is in delicate position and may under advise of her so called advisory circles may file assumed to be false case against you – your side of relations.
2. A lady given recently birth to a child needs husbands physical company to help her regain her health and someone close to her giving her company from her post delivery phase and if you as her husband have been (were) present all these time - at the time of child birth or at any other time post delivery of the parties child then it is seen as ‘tried all efforts’. Try making a visit to her as it is still not too late if already not tried visiting her as in-person to see your child and take stock of her post delivery situations as trans Atlantic phone communications vis-a-vis physical presence of a husband (natural father) are two sides of allegations of parties to some appreciation of blunt facts.
3. If already paid her a visit post delivery then suggested do it again as a young mother needs company of her husband for quite extended periods compared to a young bride and it is also suggested to visit a local therapist in your County before making another visit to your wife here in India to understand her stress - what she is going through.
4. If all above already tried then appraise me of the same and may be a legal advice then cometh!