If she fills no - when she is convicted/pleads no contest or pleads guilty it will appear on her record. Lying on a government form will cause a huge problem. It is better to have a criminal defense attorney handle the case who knows his way around immigration to see if he can either get it dropped or plead to something that is not a CIMT (Crime Involving Moral Turpitude) so that it does not impact her visa. Do NOT lie on the government form.
Khaja M. Din, Esq.
Din | Memmen, Inc.
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She should answer yes. I do not practice in Illinois, but here in Texas a simple theft falls under the petty offense exception. Assuming her theft falls under the petty offense exception, she will still be able to get her visa approved. You should certainly speak with an experienced immigration attorney prior to proceeding abroad for stamping.
The answer provided is general in nature and should not be construed as legal advice as not all facts are know by the attorney, nor does the answering of this question create an attorney client relationship.
She should always tell the truth on any government forms. My advise would be to do what she can to get the charges dropped, for example, accepting "theft school" which is available in some states/counties. If she is in valid H-4 status, she should wait to go back until this is resolved. She should meet with an immigration attorney before accepting any plea, and review her immigration history, prospective green card benefits and the risk of returning to her home country for a visa under the circumstances.