Hello, my name is ***** ***** I will be the immigration attorney helping you today.
Yes, she can still petition you even if she is not working. For the first part, the I-130 you do not need to show financial support. However, for the second part of the process she does need to show she can support you financially-- since she does not earn enough to support you, she will have to get a joint sponsor (like a co-sposor) to sign the affidavit of support. That person can be anyone as long as they are a US citizen or legal permanent resident. They do not need to be a family member.
Also just so you are aware, your case will be a little complicated since you entered with a fake visa and you have a deportation order. First you need to reopen your deportation court case. You will also need a waiver for the fake visa. You should consult a local immigration to discuss this part because you will need legal representation to do all that. It is very complicated but with help, you should be able to succeed.
Good luck to you and I hope this answer has helped you!
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