My wife has her green card and will go for citizenship in two years. Should I be nervous if she wants to go home to

[jxla]

14. She needs to apply for a Re-entry permit

I'm not an Immigration expert, but I worked long enough at USCIS and legacy INS in non-adjudicative records support positions to know a little about the forms.

https://www.uscis.gov/sites/default/files/document/guides/B5en.pdf

How do I get a reentry permit?
To obtain a reentry permit, file Form I-131, Application for Travel
Document. You should file this application well in advance of your
planned trip. Filing instructions and forms are available on our Web
site at www.uscis.gov.
The instructions on the form will give you more details. For
additional questions, check our Web site or call Customer Service
at 1-800-375-5283.

https://www.uscis.gov/sites/default/files/document/forms/i-131.pdf
Part 1 Application Type Reentry Permit Mark box 1 I am a lawful permanent resident or conditional permanent resident of the United States .... Skip to the bottom of page 4. Part 2 Information About You Complete questions 1 thru 11. Skip to Parts 3,4 and 5. Skip to Part 10. Sign and date at bottom of page 11. Parts 11 and 12 may be necessary if she uses an interpreter or preparer.

Part 13 Additional Information is a continuation sheet in case she needs more space for any of her answers.