Your name is a fundamental part of your identity, and for transgender and genderqueer individuals, using a chosen or preferred name during the job search can be empowering and also sometimes tricky to navigate.
Generally speaking, a resume is not a legal document, so it's perfectly acceptable to use your chosen or preferred name. You can list it straightforwardly, e.g., "Suzie Li," or combine your legal and preferred names, e.g., "Xiu Ying 'Suzie' Li." If, however, you are filling out an online application and the form specifically requests a legal name, you should provide it since it will be used for background and employment checks. However, for non-legal sections, you can use your preferred name. In general, your legal name is required for background checks, social security documents, and insurance forms. Not providing your correct legal name in these contexts can not only lead to confusion but also termination.
If you are interested in legally changing your name, the National Center for Transgender Equality can help provide guidance: https://transequality.org/documents
You should feel free to use your chosen name in your email address and other professional communications to maintain consistency and affirm your identity. You will want to make sure human resources is aware of your preferred name and pronouns. Using your chosen name and preferred pronouns during introductions as early as an interview when job searching is important. This helps ensure that your preferences will be adopted early; however, it also helps you assess the culture of the work environment.
As many know, work culture and acceptance varies by industry. The Human Rights Campaign's Corporate Equality Index can provide insights into companies and industries working to end discrimination based on gender identity and expression.
If you are already employed and planning to transition on the job, it can be helpful to utilize resources like Transgender Workplace Diversity by Jillian Weiss and the Human Rights Campaign’s Workplace Gender Transition Guidelines. Your preferences should guide the process, with HR as a supportive ally.