Sharon Fast Gustafson is most recognized for representing a worker who successfully sued UPS in a pregnancy discrimination case decided by the U.S. Supreme Court in 2015.

That makes her a somewhat unusual choice by the Trump White House to be general counsel of the Equal Employment Opportunity Commission. That’s because Republican administrations typically choose EEOC general counsels with more management-side experience, while Democrats usually appoint attorneys with a background representing workers.

“She’s very tied into the Republican world, so...