Will unemployment benefits affect my wife's application for US citizenship?

Since your wife became a Permanent Resident only approximately 18 months ago, it will take some time before she will become eligible to petition to become a naturalized citizen - in most cases the spouse of a U.S. citizen may file for naturalization as early as 90 days before the end of three years from the date of becoming a Permanent Resident. At that time, the employment status of the applicant's husband should be irrelevant. Of course, there are many other details that impact naturalization eligibility. When approaching the time for filing an application, it would be wise for your wife to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain her goals, and who then could offer legal representation in the often complex application process.