"pressing case" is correct and usable in written English.
You could use it to refer to a situation that requires immediate attention or for which prompt action is necessary. For example, "The mayor had to decide how to address the pressing case of homelessness in the city."
Yet she is an abler politician who has some grasp of the pressing case for reform.
Is there anything the world can do to stop it - if indeed there is a pressing case for doing so?
Labour MP Jess Phillips said the allegations against Assange in Sweden were "the first and most pressing case he should answer".
Few All Blacks, Australians or French players would merit a place, with the three Celtic unions making an even less pressing case for inclusion.
But there is a pressing case for these warring camps to lay aside their differences and unite against a problem that affects us all.
Greek shipowners made record profits from China's export boom; Russian oligarchs bought expensive land on Aegean Islands.The feel-good factor allowed the conservatives to ignore the pressing case for social reform, particularly in education, health and policing.
The students used their knowledge of the law to get proper information from victims and get the legitimate and most pressing cases heard by lawyers.
When we spoke in December, he had a number of other pressing cases, but had been preparing for the hearing for nearly 18 months.
This leads me to the third suggestion: Why not have an option of pressing cases involving ethical transgressions as civil rather than criminal matters?
There are concerns, however, that the commission has become politicized, often pressing cases without enough evidence and mostly targeting officials from previous governments.
When it's counted — even in less pressing cases than the one you describe, such as Ethiopia — the Obama Administration has been no different than most.
