The phrase "a complex challenge for" is correct and usable in written English.
It can be used when discussing a difficult task or problem that needs to be addressed or solved, often in a specific context or for a particular group.
Example: "The new regulations present a complex challenge for small businesses trying to comply while maintaining profitability."
Alternatives: "a difficult task for" or "a significant hurdle for".
It is understood that Roache will not be appearing on the soap in the near future following his arrest, posing a complex challenge for producers to edit his character out of several current storylines.
This provides not only a complex challenge for companies, but also a strong impetus, as the world enters a new age of responsible consumerism, one best navigated from a position of knowledge, and best addressed with transparency rather than obfuscation and denial.
However, management of soil washing solutions is a complex challenge for environmental engineering.
However, this particular type of rock has a number of features that make it a complex challenge for characterization and management of an oil field.
These coral reefs vary widely in terms of biophysical structure, seascape context, socio-economic value and exposure to threats presenting a complex challenge for resilience-based management.
But Rodgers ignores the intricacies of the solar manufacturing supply-chain and oversimplifies a complex challenge for manufacturers -- both in the U.S. and abroad.
The Index points to the need to approach development as a complex challenge that calls for human capital policies whose coherence and effectiveness demands collaboration across multiple government departments, including finance, planning, education, labor, health, and women's issues.
Aligning and coordinating action from key stakeholders in the city-at-large (the city as a system), covering all sectoral domains, geographical city entities and coping with market dynamics remains a tough, complex challenge for city governments (perhaps this can even be judged a 'wicked problem').
Cloacal malformations represent a uniquely complex challenge for surgeons.
In so doing it considered a particularly complex challenge for policy-makers— health service achievement of state policy goals for chronic disease across the system.
