British Prime Minister Theresa May faces unrelenting pressure

Life for British Prime Minister Theresa May keeps getting harder.

May spent Monday morning swerving questions about Brexit, tax evasion and sexual harassment in front of an audience of business titans. That was after the president of Confederation of British Industry said the talks on leaving the European Union resembled a "soap opera."

Unfortunately for business, looking for more detail on Brexit, May's words were a reiteration of her existing position and vague reassurances to a skeptical audience that she understood that "a strictly time-limited implementation period will be crucial to our future success."

From the podium, CBI President Paul Drechsler warned her that "the clock is ticking" — a refrain E.U. negotiator Michel Barnier is fond of saying too — with many companies on the point of implementing the plans they'll need if her negotiations fail to secure a trade deal.

Meanwhile the pressure to get ahead of the sexual harassment scandal that is rocking Westminster continued.

Last week saw the prime minister lose her defense secretary, and announce that her most senior official will investigate her deputy, Damian Green, over claims he behaved inappropriately toward a female writer. At least six other Conservative lawmakers are under investigation either by civil servants, the party or the police. Allegations have also been made against Labour Party lawmakers and officials.

Green denied in the strongest terms a Sunday Times newspaper report that police found pornography on one of his parliamentary computers in 2008. He called the claims by a former top police official "completely untrue" and "political smears."

In the short term, May could come under pressure to reshuffle her team. Green is being investigated by the cabinet office for earlier claims of inappropriate behavior, and the latest allegation will also be taken up by the same body.

"There's an opportunity for a changing of the guard and that could benefit her," said Justin Fisher, a professor at Brunel University. "Under unpleasant circumstances, it could be a good way of renewing the cabinet and refreshing the look of the party."

Whether May feels she has the political breathing room to do that, or even wants to, is another thing. She's nine seats short of a parliamentary majority and reliant on support from 10 members of Northern Ireland's Democratic Unionist Party to keep governing.