The phrase "pressing appointment" is correct and commonly used in written English.
It refers to an important or urgent meeting or obligation that a person needs to attend to. Example: "I'm sorry, I can't meet you for lunch today. I have a pressing appointment with my boss that I can't miss."
The interview was abruptly terminated by a tight-lipped F.B.I. official who clamped his hand on Mr. Webster's shoulder and reminded him of pressing appointments.
At Fortieth Street, Henry and I, who had pressing appointments in Manhattan, disembarked ("Oh, no. I think I forgot something," I said. "I have to get off"), leaving a trail of plumage behind.
All I can say is that it's lucky I didn't have any pressing appointments this morning so I could respond to the flood of invective that came my way.
Mann had no pressing appointments, as Washington whirred with talk of energy policy.
Recently, a friend in Santa Monica whom I hadn't seen for a couple of weeks (I guess I hadn't made a reservation) quite seriously suggested that we should get together for coffee for precisely 35 minutes, for that was the window she had between pressing appointments--slightly unfeasible considering that I work in West Hollywood.
If you've long since lost touch with anything other than deadlines and pressing appointments, and feel that people only let you down, learning to look at people with trust and openness can take time but do persevere because it'll turn your world around 360 degrees.
Mr. Dickens said that on a case-by-case basis, embassies and consulates would be permitted to issue the old-style paper-photograph passports for Americans who need to travel urgently -- for pressing business appointments, for example, or because a flight home cannot be rescheduled.
At the national level, the focus will be primarily on reforming essential ministries and pressing for the appointment of competent and honest ministers and governors.
