The phrase "changing priority" is correct and can be used in written English.
Example sentence: With the introduction of the new initiative, we had to change priority and focus our attention on different areas.
Ability to remain flexible in the face of change and changing priorities.
(R4) High staff turnover, sudden change of arrangements because of changing priorities or members of the communities leaving for cultural reason were not seen as major hurdles but rather recognized as part of working in Aboriginal communities.
The change of heart by the companies could reflect changing priorities in the agricultural biotechnology industry.
Wenger's team selection had reflected his changing priorities.
Relationships can be victims of bad timing or immaturity, compelling alternative distractions and many other changing priorities.
This shift appears to reflect changing priorities rather than an increase in Isis capability – they had capacity to prioritise attacks like this before.
The tone of the new tracks is, for all their witty and complex takes on growing older and changing priorities, fresh, sweet and breezy.
* To the Sports Editor: As a runner in more than 200 New York Road Runners races over the past 20 years, I've experienced firsthand the changing priorities of the organization.
In another example of changing priorities, in March the UN's refugee agency, UNHCR, handed over responsibility for IDP coordination to Ocha.
He cited "overwhelmingly positive" popular sentiment, the need to remove barriers to economic development and the changing priorities of a post-cold war world.
