Any ex-parte order which she obtains in her favour in the US, cannot be executed/enforced by her in India.
Matrimonial cases instiuted here in India, including the DV case will have precedence.
Can US court send her judgment to me in India ?
And. If they are ex-parte, you are not expected to comply with it.
I think looking at the circumstances, you must apply for a divorce from your wife, here in India