Yes, but it is not proper to come for purposes of seeking TPS.
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I assume, your mother cannot get to the US on the day of redesignation, I.e. June 17, 2013. Therefore, even if she subsequently enters the US using some sort of a non-immigrant visa, she will not be able to get a TPS protection. Further, there is may be an issue with misrepresentation at the time of entry.
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This looks like a repeat question.
Since she wasn't here on June 17 ... she can't apply.
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