Lesbian, gay, bisexual and transgender (LGBT) people have historically, and continue today to encounter barriers to accessing health services. This has been attributed to the well-documented heterosexism, homophobia, biphobia, and transphobia that shape all health and social institutions. In this paper, invitational theory offers insight into the challenges faced by a childbearing lesbian couple to access supportive health care, and sheds light on inequities faced by LGBT people when accessing health care in Canada. The author draws on critical feminist research and invitational concepts to build an understanding of four dimensions of this couple's access to supportive care. The invitational approach is combined with an explicitly critical stance to highlight gender and other relations of power, and to provide a theoretical rationale for incorporating invitational concepts into equity-related research, including a current application focused on improving LGBT home care access in the Canadian context. Given the deeply embedded structural inequities that hinder the creation of intentionally inviting environments for diverse groups, this research has implications both for shedding light on areas in need of health care access research, as well as for integrating invitational approaches that align with critical pedagogies into health care education.