Dear Querist
No need to worry, if you are not interested to visit India then it is your choice, otherwise there is no harm, they can to you, as there is no FIR yet, so there is no power to arrest you by the police.
the Marriage was solemnized in USA, whether it was solemnized as per Hindu rites and rituals, if yes, than your annulment decree passed by USA Court will not be Valid in India as per section 13 of CPC:- read as below:-
13. When foreign judgment not conclusive.- A foreign judgment shall be conclusive as to any matter thereby directly adjudicated upon between the same parties or between parties under whom they or any of them claim litigating under the same title except,—
(a) where it has not been pronounced by a Court of competent jurisdiction;
(b) where it has not been given on the merits of the case;
(c) where it appears on the face of the proceedings to be founded on an incorrect view of international law or a refusal to recognize the law of India in cases in which such law is applicable;
(d) where the proceedings in which the judgment was obtained are opposed to natural justice;
(e) where it has been obtained by fraud;
(f) where it sustains a claim founded on a breach of any law in force in India.
as regarding the criminal Case or CAW Cell proceedings, if you got the copy of the complaint than file your written reply before CAW Cell along with all your documents, in case of registration of FIR, the written reply and documents will helpful for you and you may get discharge from the court based on your evidence.
no need to pay any money for closing the case by CAW Cell or Police as they have another option to registered the case under section 156(3) of Cr.P.C. as you know very well.
Feel Free to Call