How can I apply for my fianceé to become a resident?

Significantly more information is needed in order to provide a legal analysis of ways your fiance may be able to attain immigration benefits. This includes, for example, information about your own immigration status (Are you a U.S. citizen? Are you a Permanent Resident? Do you have some other status?); information about your fiance (Is she now located abroad? If not, how and when did she enter the U.S.? What is her current immigration status? What immigration-related applications every before have been filed by or for her?); Etc. There really is no substitute for you and your fiance to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.