Final answer:
The identified danger in high profile ministries is the refusal of counsel and accountability, which can lead to ethical issues and a lack of integrity within the leadership.
Step-by-step explanation:
The danger identified in the text as a prevalent issue in high profile ministries is that 'counsel and accountability are refused.' This reflects a situation where leaders may become isolated or authoritarian, not seeking the wisdom or oversight of others. This can lead to a breakdown in ethical decision-making and a lack of responsibility, which is essential for maintaining trust and integrity in any ministry.