Fox News forced out one of its most senior executives on Monday, the latest aftershock of a sexual harassment scandal that has engulfed the television network and pressured its owners, the Murdoch family, into a painful and protracted public housecleaning.

The exit of Bill Shine — a co-president at the network and a close ally of Roger E. Ailes, its former chairman — came nearly 10 months after Mr. Ailes was removed in the wake of numerous harassment allegations. Mr. Shine’s departure could portend big changes as the Murdochs move to retool a lucrative channel that has threatened to become an obstacle to their global business ambitions.

Mr. Shine’s exit did little to quell a newsroom in tumult, however. Even as Mr. Shine was removed, another veteran executive with deep ties to Mr. Ailes, Suzanne Scott, was promoted. Ms. Scott, who is now the president of programming, has been cited in lawsuits against the network as a figure who enabled and concealed Mr. Ailes’s behavior.

Mr. Shine had been viewed by some employees as a symbol of Mr. Ailes’s tainted tenure amid a public pledge by the network’s corporate parent, 21st Century Fox, to reform its office culture. He was accused in several lawsuits of covering up Mr. Ailes’s behavior and dismissing concerns from women who complained about it. Mr. Shine and Ms. Scott deny any wrongdoing.