"主席的身份或资格" can be translated into English as "the status or qualifications of the chairperson/president".
Here, "status" refers to one's official position or rank, while "qualifications" denote the skills, knowledge, or experience that make someone suitable for a particular role. Depending on the context, you might choose to use "chairperson" (a more gender-neutral term) or "president" (often used in organizations like companies or associations). Both terms are acceptable in this context.