Maybe. It depends on who the child's father is.
PROFESSOR OF IMMIGRATION LAW for 10+ years -- All responses on this blog are offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.
No, it does not "affect" your immigration pursuit in any shape or form unless it creates suspicion of the bonafide nature of your marriage to the abuser spouse.
The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter,not should it be viewed as establishing an attorney client relationship of any kind.
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