How to get a green card here?
2 attorney answers
This will be difficult. I suggest that you talk to an attorney via Skype ... perhaps staying in school getting your EdD.
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Difficult situation, as you don't seem to be of neither "Extraordinary Ability" nor "National Interest Waiver" self-petition caliber, where you do not need any employer sponsorship.
If you want to continue remaining here, then you should strive to convince a school to sponsor you for the O-1 visa, which am confident a good, experienced lawyer who knows what he/she is doing could qualify you for. A non-profit institution such as a school could also easily (more easily, in fact) apply for H-1B visa on your behalf.
Or, "Plan B": forget about your husband in Egypt, start dating, file for divorce, which you should easily obtain here, encounter the man (or woman) of your dreams - better make sure a US citizen first, though - remarry and apply for "green card".
Last, but not least, the possibility of "political" asylum for an Egyptian woman also exists - do not dismiss it offhand - consult with an experienced lawyer about it in private IF interested in exploring that option further.
If my answer is the "BEST ANSWER" and/or "HELPFUL" please mark it accordingly. Fluent in 7 languages. Certified Specialist in U.S. Immigration & Nationality Law, The State Bar of California, Board Of Legal Specialization. 25 years of successful immigration law experience. The answer above is only general in nature and cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.