If you are living abroad and she is not going to live in the US it is premature to begin any process for her.
In addition you are married. A K1 is for a fiance. That is not the route.
Most situations like this play out as follows.
The spouse joins the US citizen in the foreign country where they are working and when they are approximately 6-9 months from moving back to the US they apply for their spouse's permanent resident status.
She cannot simply gain US citizen without the first step of being a lawful permanent resident and that requires her to live here.
The if you choose to go and work abroad again she can file for citizenship if she meets these qualifications:
The spouse must establish that he or she meets the following criteria in order to qualify:
•Age 18 or older at the time of filing.
•LPR at the time of filing the naturalization application.
•Continue to be the spouse of the U.S. citizen up until the time the applicant takes the Oath of Allegiance.
•Married to a U.S. citizen spouse regularly stationed abroad in qualifying employment for at least one year.
•Has a good faith intent to reside abroad with the U.S. citizen spouse upon naturalization and to reside in the United States immediately upon the citizen spouse’s termination of employment abroad.
•Establish that he or she will depart to join the citizen spouse within 30 to 45 days after the date of naturalization.
•Understanding of basic English, including the ability to read, write, and speak.
•Knowledge of basic U.S. history and government.
•Demonstrate good moral character for at least three years prior to filing the application until the time of naturalization. 
•Attachment to the principles of the U.S. Constitution and well-disposed to the good order and happiness of the U.S. during all relevant periods under the law.
The period for showing good moral character (GMC) for spouses employed abroad is not specifically stated in the corresponding statute and regulation.  USCIS follows the statutory three-year GMC period preceding filing (until naturalization) specified for spouses of U.S. citizens residing in the United States. 
In general, the spouse is required to be present in the United States after admission as an LPR for his or her naturalization examination and for taking the Oath of Allegiance for naturalization. 
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