The phrase "a core concern for" is correct and usable in written English.
It can be used to indicate a primary issue or matter of importance regarding a particular subject or group.
Example: "Environmental sustainability is a core concern for our organization as we strive to reduce our carbon footprint."
Alternatives: "a primary issue for" or "a key concern for".
Earnest, outlining Obama's longstanding thinking about launching new air strikes in Iraq, noted that protecting US personnel was a core concern for the US president.
And the true test of success, he said, will be whether the project elevates climate change to a core concern for Americans.
The ADIZ declaration confirms that the Diaoyu/Senkaku islands are a "core concern" for China; it places the archipelago in the same category as the South China Sea and Taiwan.
As attention increasingly turns to the sustainability of rural water supplies - and not simply overall levels of coverage or access - water point functionality has become a core concern for development practitioners and national governments, especially in Sub-Saharan Africa. Sub-Saharan Africa
In the Gospel of Luke, Jesus also declared people languishing in prison to be a core concern for him: "the spirit of the Lord... has sent me to proclaim release to the captives" (Luke 4 18).
This is particularly important because the bulk of household retirement funds are invested in mutual and index funds, and we all know that retirement should be a core concern for women, who have an exclusive set of challenges.
Melody was a core concern on that album, however Mr. Klein chose to reframe it.
For Ono, the issue of books, and how we interact with them, is a core concern.
Children's cultural, intellectual, affective, social, spiritual, psychological and physical development remains the main (core ) concern for the national and international actors of development who work for the improvement of the well-being of the Djiboutian child.
The outflows came amid concerns about the US Federal Reserve's monetary policy and its effects on emerging markets, a core business for Ashmore.
