She will be placed in removal proceedings for committing two crimes involving moral turpitude after obtaining her residency. Her defense should be Cancellation of Removal provided that she has 7 years of continuous presence before committing the first theft offense. She needs an excellent and experienced immigration lawyer to prevail in this case.
Best of luck.
Verdin Law Firm, LLC
Yes she can be deported and likely will be placed in removal proceedings. She may be able to cancel the removal if she can show that the equities of remaining in the United States are favorable. One element you need to demonstrate is that you have rehabilitated yourself - - this will be difficult to do with four convictions but not impossible. However you absolutely should have an immigration lawyer in your geographic area review the matter before she pleads guilty to anything.
Most likely she will be placed in removal proceedings and will have to fight to remain in the US. You would be wise to retain an immigration attorney to discuss her options.
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Legal disclaimer: The statement above is general in nature, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship.