Despite the growing popularity of computing bachelor's programs, women remain vastly underrepresented in these fields. Using Social Cognitive Career Theory and intersectionality as guiding theories, this qualitative study explores how postsecondary institutions shape women's experiences choosing and entering computing bachelor's programs. Twenty-eight of 40 participants entered their institutions with plans to study computing, while 12 developed a new (or renewed) interest in computing as postsecondary students. Findings outline four postsecondary structures that shaped women's entry into computing majors, including university-level admissions and participant perceptions of financial and cultural accessibility; academic college-level organization and admissions processes; institutional computing cultures, namely introductory course experiences and social environments; and major declaration policies. Findings also show how these structures differentially shaped participant experiences based on intersecting social identities. Overall, findings illustrate the precarious relationship between computing interest development, major intent, and major enrollment for undergraduate women in computing.