I dont think that I am going to tell you something that you dont already know - you need to go to the court system in your country and get an order of the family court giving you authorization to leave the country with your daughter. If you dont get an order from your country's court system and you simply come to this country, the father of your child will go to the court system in Chile claiming that you kidnapped your child and took her to the United States without his permission or a court order permitting it to occur and he will ask the Chilean government to assist him under the Hague Convention for child Abduction to ask the US Government to compel the return of your child to Chile. Yes, there are specific protections given to someone fleeing another country in abuse settings, but the burden will be on you to prove them to avoid an application to the US court system to compel your child's return to Chile.
The alternative would be to contact a certified immigration lawyer in New Jersey to work with you and your new partner on getting the proper paperwork filed with the US State Department to assist in getting you and your daughter to the US.
Answered on Mar 23rd, 2021 at 5:48 AM