The phrase "are competing for priority" is correct and usable in written English.
It can be used in contexts where multiple entities or factors are vying for importance or precedence in a situation.
Example: "In the current project, several tasks are competing for priority, making it challenging to allocate resources effectively."
Alternatives: "are vying for precedence" or "are contending for importance".
The Obama administration must not only lead an agreement between two peoples who have been in conflict for a century, it must also start a reconciliation among the three faiths that have been competing for priority on God's right hand.
Even though Mourinho said before tonight's game against Dynamo Kiev that Chelsea can, in theory, win all four trophies they are competing for, the club's immediate priority boils down simply to what he called "a change in results".
1. Acknowledge the problem: It's no secret that a variety of priorities and expenses are competing for your hard-earned dollars, but be aware that merely making more money won't necessarily solve your problems.
They are competing against each other for tour priority, with regular-season earnings counting in their totals.
They are competing against each other for PGA Tour priority, with regular-season earnings counting in their totals.
Second, most companies lack venues for airing and resolving conflicts that arise when there are competing priorities.
The IEA's chief economist Fatih Birol told BBC News that natural gas, which has only half the carbon emissions of coal, is already competing for priority with clean renewable energy.
Many informants commented that there were competing priorities for their time (clinical vs. non clinical) and often this resulted in them not being able to participate, or discerningly choosing what to participate in, within the AHRRTS program.
There were competing priorities.
Further, although these obligations may compete for priority, they are not necessarily mutually exclusive: perhaps it is a 'more pressing duty to relieve [immediate] suffering' than to participate in research that will prevent future suffering, but we may be able to do both; and if we can, we should.
