LOS ANGELES — Sony Pictures needs to keep male moviegoers interested in its “Ghostbusters” reboot after an Internet attack on its female cast. Hillary Clinton wants women to throw their support behind her presidential campaign.

In a strange confluence, those agendas risk colliding this week on “The Ellen DeGeneres Show.”

To the surprise of Sony, Ms. DeGeneres announced on May 17 that her talk show had booked Mrs. Clinton — a friend, political ally and repeated past guest — to appear Wednesday on an episode for which she had already scheduled the “Ghostbusters” stars Melissa McCarthy, Leslie Jones, Kristen Wiig and Kate McKinnon.

“Get your Woman Cards ready,” Ms. DeGeneres wrote on Twitter to her 60 million followers, a reference to the Republican contender Donald J. Trump’s criticism that Mrs. Clinton had relied on playing “the woman’s card.” The show’s website added, “This Wednesday, Ellen’s sitting down with some powerful women!”

For Mrs. Clinton, her identification with a hip, and somewhat younger, group of actresses is a chance to score points with younger female voters. On the heels of Ms. DeGeneres’s tweet came a fan-made follow-up post showing a smiling Mrs. Clinton in a “Ghostbusters” jumpsuit standing next to Mr. Trump as the film’s gluttonous Slimer.