A foreign national who applies to become a naturalized citizen after being a Permanent Resident for 7 years will not need to show that she continues to live in a bona fide marital relationship. If before or during the naturalization application process you become divorced then it will be necessary to reveal that your marital status is divorced. Whether divorced or not the USCIS is permitted to seek documentary evidence that your marriage-based adjustment of status case was legitimate, and so it could be wise to be prepared to provide evidence (such as joint tax returns, residential lease or ownership documents, joint bank account records, birth certificates for children of the marriage, utility bills, insurance documents, etc.). No detail that you mentioned gives me even the slightest pause in believing that your husband could complain to the USCIS that your marriage was fraudulent (and that he, himself, presumably participated in the fraud). For immigration-related issues, it would be wise for you to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process. Regarding your rights and obligations related to a divorce, it would be wise for you to engage, without delay, a domestic relations/divorce attorney - among other things, a domestic relations attorney could discuss with you what appears to me an absurd assertion that a husband could convince anyone that a marriage was fraudulent notwithstanding that, I presume, the husband testified under oath about the genuine nature of the marriage in a marriage-based adjustment of status case and notwithstanding that the marriage produced two minor children). A domestic relations attorney also could provide the type of advice and legal representation you need when addressing what sounds like an absurd negotiation bullying technique, when addressing division of property, when addressing custody/child support/visitation for your children, etc....
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