In response to questions on CBS’s “Face the Nation” about the allegations, Ms. Haley said that while ultimately the decision on Mr. Trump lies with voters, “women should always feel comfortable coming forward. And we should all be willing to listen to them.”

In discussing the growing number of women coming forward with stories of sexual misconduct by an array of powerful men, Ms. Haley said there should be no differentiation in how they are treated, regardless of whom they are accusing.

“They should be heard, and they should be dealt with,” Ms. Haley added. “And I think we heard from them prior to the election. And I think any woman who has felt violated or felt mistreated in any way, they have every right to speak up.”