Gina Ciralli, an employee at the Philadelphia Museum of Art who dated Joshua Helmer, a young manager, said that he had made her feel as if he had the power to make or break her career — telling her she “wasn’t smart enough to work at a museum” but that he could help her have “a great trajectory.”

Another woman, Alicia Parks, said he took her for drinks on her second day of work and told her that if she wanted to succeed she should “get to know him.”

“I worked in the N.F.L. for five years,” said Ms. Parks, a former Philadelphia Eagles cheerleader, “and no one spoke to me in a way that made me feel that uncomfortable.”

Neither of those women worked directly for Mr. Helmer, but they were his subordinates in rank, and three employees who were familiar with their accounts said they reported their concerns to museum managers, starting as early as 2016.